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106932825 = 3352158419
BaseRepresentation
bin1100101111110…
…10101001011001
321110012202021000
412113322221121
5204333322300
614335535213
72435625336
oct627725131
9243182230
10106932825
11553a723a
122b98a509
131920027c
14102b798d
1595c3c00
hex65faa59

106932825 has 24 divisors (see below), whose sum is σ = 196440800. Its totient is φ = 57030480.

The previous prime is 106932823. The next prime is 106932851. The reversal of 106932825 is 528239601.

It is not a de Polignac number, because 106932825 - 21 = 106932823 is a prime.

It is a super-2 number, since 2×1069328252 = 22869258124961250, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 106932825.

It is not an unprimeable number, because it can be changed into a prime (106932823) 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, 78535 + ... + 79884.

Almost surely, 2106932825 is an apocalyptic number.

106932825 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

106932825 is a deficient number, since it is larger than the sum of its proper divisors (89507975).

106932825 is a wasteful number, since it uses less digits than its factorization.

106932825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158438 (or 158427 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 106932825 is about 10340.8328968222. The cubic root of 106932825 is about 474.6465699626.

The spelling of 106932825 in words is "one hundred six million, nine hundred thirty-two thousand, eight hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 135 225 675 158419 475257 792095 1425771 2376285 3960475 4277313 7128855 11881425 21386565 35644275 106932825