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106159878 = 232111928219
BaseRepresentation
bin1100101001111…
…01111100000110
321101202110222100
412110331330012
5204134104003
614311212530
72426226006
oct624757406
9241673870
10106159878
1154a19540
122b677146
1318cbc4c6
1410156006
1594beba3
hex653df06

106159878 has 48 divisors (see below), whose sum is σ = 264139200. Its totient is φ = 30475440.

The previous prime is 106159877. The next prime is 106159891. The reversal of 106159878 is 878951601.

It is a super-2 number, since 2×1061598782 = 22539839393949768, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106159877) 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, 10348 + ... + 17871.

It is an arithmetic number, because the mean of its divisors is an integer number (5502900).

Almost surely, 2106159878 is an apocalyptic number.

106159878 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

106159878 is an abundant number, since it is smaller than the sum of its proper divisors (157979322).

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

106159878 is a wasteful number, since it uses less digits than its factorization.

106159878 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28257 (or 28254 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 45.

The square root of 106159878 is about 10303.3915775341. The cubic root of 106159878 is about 473.5001674455.

The spelling of 106159878 in words is "one hundred six million, one hundred fifty-nine thousand, eight hundred seventy-eight".

Divisors: 1 2 3 6 9 11 18 19 22 33 38 57 66 99 114 171 198 209 342 418 627 1254 1881 3762 28219 56438 84657 169314 253971 310409 507942 536161 620818 931227 1072322 1608483 1862454 2793681 3216966 4825449 5587362 5897771 9650898 11795542 17693313 35386626 53079939 106159878