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106010601150 = 23525989134591
BaseRepresentation
bin110001010111010111…
…0010110011010111110
3101010122001122111222010
41202232232112122332
53214102203214100
6120411155032050
710442020146006
oct1425656263276
9333561574863
10106010601150
1140a60247773
121866689b626
139cc5b4a87c
1451b942d006
152b56c68750
hex18aeb966be

106010601150 has 96 divisors (see below), whose sum is σ = 270368409600. Its totient is φ = 27477894400.

The previous prime is 106010601139. The next prime is 106010601157. The reversal of 106010601150 is 51106010601.

It is a super-2 number, since 2×1060106011502 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106010601157) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 720355 + ... + 854945.

It is an arithmetic number, because the mean of its divisors is an integer number (2816337600).

Almost surely, 2106010601150 is an apocalyptic number.

106010601150 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 106010601150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135184204800).

106010601150 is an abundant number, since it is smaller than the sum of its proper divisors (164357808450).

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

106010601150 is a wasteful number, since it uses less digits than its factorization.

106010601150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134754 (or 134749 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 21.

Adding to 106010601150 its reverse (51106010601), we get a palindrome (157116611751).

The spelling of 106010601150 in words is "one hundred six billion, ten million, six hundred one thousand, one hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 59 75 89 118 150 177 178 267 295 354 445 534 590 885 890 1335 1475 1770 2225 2670 2950 4425 4450 5251 6675 8850 10502 13350 15753 26255 31506 52510 78765 131275 134591 157530 262550 269182 393825 403773 672955 787650 807546 1345910 2018865 3364775 4037730 6729550 7940869 10094325 11978599 15881738 20188650 23822607 23957198 35935797 39704345 47645214 59892995 71871594 79408690 119113035 119785990 179678985 198521725 238226070 299464975 359357970 397043450 595565175 598929950 706737341 898394925 1191130350 1413474682 1796789850 2120212023 3533686705 4240424046 7067373410 10601060115 17668433525 21202120230 35336867050 53005300575 106010601150