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106015410150 = 23521354799391
BaseRepresentation
bin110001010111100000…
…0101100011111100110
3101010122101200211200020
41202233000230133212
53214104421111100
6120411450100010
710442106055266
oct1425700543746
9333571624606
10106015410150
1140a62a31851
121866841a606
139cc6b42730
1451b9d217a6
152b573b85a0
hex18af02c7e6

106015410150 has 96 divisors (see below), whose sum is σ = 283663177728. Its totient is φ = 26048131200.

The previous prime is 106015410097. The next prime is 106015410187. The reversal of 106015410150 is 51014510601.

It is a super-2 number, since 2×1060154101502 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106015410150.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1016955 + ... + 1116345.

It is an arithmetic number, because the mean of its divisors is an integer number (2954824768).

Almost surely, 2106015410150 is an apocalyptic number.

106015410150 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 106015410150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141831588864).

106015410150 is an abundant number, since it is smaller than the sum of its proper divisors (177647767578).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

106015410150 is a wasteful number, since it uses less digits than its factorization.

106015410150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99966 (or 99961 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 24.

Adding to 106015410150 its reverse (51014510601), we get a palindrome (157029920751).

The spelling of 106015410150 in words is "one hundred six billion, fifteen million, four hundred ten thousand, one hundred fifty".

Divisors: 1 2 3 5 6 10 13 15 25 26 30 39 50 65 75 78 130 150 195 325 390 547 650 975 1094 1641 1950 2735 3282 5470 7111 8205 13675 14222 16410 21333 27350 35555 41025 42666 71110 82050 99391 106665 177775 198782 213330 298173 355550 496955 533325 596346 993910 1066650 1292083 1490865 2484775 2584166 2981730 3876249 4969550 6460415 7454325 7752498 12920830 14908650 19381245 32302075 38762490 54366877 64604150 96906225 108733754 163100631 193812450 271834385 326201262 543668770 706769401 815503155 1359171925 1413538802 1631006310 2120308203 2718343850 3533847005 4077515775 4240616406 7067694010 8155031550 10601541015 17669235025 21203082030 35338470050 53007705075 106015410150