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106979325 = 3522362017
BaseRepresentation
bin1100110000001…
…01111111111101
321110022010001020
412120011333331
5204341314300
614340534353
72436211035
oct630057775
9243263036
10106979325
1155429172
122b9b13b9
131921849b
14102ca8c5
1595d28a0
hex6605ffd

106979325 has 24 divisors (see below), whose sum is σ = 184565568. Its totient is φ = 54574080.

The previous prime is 106979311. The next prime is 106979333. The reversal of 106979325 is 523979601.

It is not a de Polignac number, because 106979325 - 24 = 106979309 is a prime.

It is a super-2 number, since 2×1069793252 = 22889151954911250, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29284 + ... + 32733.

It is an arithmetic number, because the mean of its divisors is an integer number (7690232).

Almost surely, 2106979325 is an apocalyptic number.

106979325 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

106979325 is a deficient number, since it is larger than the sum of its proper divisors (77586243).

106979325 is a wasteful number, since it uses less digits than its factorization.

106979325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62053 (or 62048 counting only the distinct ones).

The product of its (nonzero) digits is 102060, while the sum is 42.

The square root of 106979325 is about 10343.0810206630. The cubic root of 106979325 is about 474.7153603989.

The spelling of 106979325 in words is "one hundred six million, nine hundred seventy-nine thousand, three hundred twenty-five".

Divisors: 1 3 5 15 23 25 69 75 115 345 575 1725 62017 186051 310085 930255 1426391 1550425 4279173 4651275 7131955 21395865 35659775 106979325