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106131915 = 3252358487
BaseRepresentation
bin1100101001101…
…11000111001011
321101201001121200
412110313013023
5204132210130
614310435243
72426051331
oct624670713
9241631550
10106131915
11549aa52a
122b662b23
1318cac866
1410149b51
1594b6760
hex65371cb

106131915 has 12 divisors (see below), whose sum is σ = 183962064. Its totient is φ = 56603664.

The previous prime is 106131899. The next prime is 106131919. The reversal of 106131915 is 519131601.

It is not a de Polignac number, because 106131915 - 24 = 106131899 is a prime.

It is a super-2 number, since 2×1061319152 = 22527966763134450, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106131919) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1179199 + ... + 1179288.

It is an arithmetic number, because the mean of its divisors is an integer number (15330172).

Almost surely, 2106131915 is an apocalyptic number.

106131915 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

106131915 is a deficient number, since it is larger than the sum of its proper divisors (77830149).

106131915 is a wasteful number, since it uses less digits than its factorization.

106131915 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2358498 (or 2358495 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 27.

The square root of 106131915 is about 10302.0345078048. The cubic root of 106131915 is about 473.4585897542.

The spelling of 106131915 in words is "one hundred six million, one hundred thirty-one thousand, nine hundred fifteen".

Divisors: 1 3 5 9 15 45 2358487 7075461 11792435 21226383 35377305 106131915