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106619115400 = 23527105172461
BaseRepresentation
bin110001101001011111…
…1101001011110001000
3101012012110200020120221
41203102333221132020
53221323443143100
6120551413355424
710463056346020
oct1432277513610
9335173606527
10106619115400
1141242790506
12187b6638b74
13a091c37985
145236190a80
152b903b901a
hex18d2fe9788

106619115400 has 96 divisors (see below), whose sum is σ = 283575689280. Its totient is φ = 36519840000.

The previous prime is 106619115397. The next prime is 106619115401. The reversal of 106619115400 is 4511916601.

It is a super-2 number, since 2×1066191154002 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106619115401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1435170 + ... + 1507630.

It is an arithmetic number, because the mean of its divisors is an integer number (2953913430).

Almost surely, 2106619115400 is an apocalyptic number.

106619115400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106619115400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141787844640).

106619115400 is an abundant number, since it is smaller than the sum of its proper divisors (176956573880).

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

106619115400 is a wasteful number, since it uses less digits than its factorization.

106619115400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73535 (or 73526 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 34.

The spelling of 106619115400 in words is "one hundred six billion, six hundred nineteen million, one hundred fifteen thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 175 200 280 350 700 1051 1400 2102 4204 5255 7357 8408 10510 14714 21020 26275 29428 36785 42040 52550 58856 72461 73570 105100 144922 147140 183925 210200 289844 294280 362305 367850 507227 579688 724610 735700 1014454 1449220 1471400 1811525 2028908 2536135 2898440 3623050 4057816 5072270 7246100 10144540 12680675 14492200 20289080 25361350 50722700 76156511 101445400 152313022 304626044 380782555 533095577 609252088 761565110 1066191154 1523130220 1903912775 2132382308 2665477885 3046260440 3807825550 4264764616 5330955770 7615651100 10661911540 13327389425 15231302200 21323823080 26654778850 53309557700 106619115400