102675105 has 72 divisors (see below), whose sum is σ = 201434688. Its totient is φ = 48267648.

The previous prime is 102675091. The next prime is 102675137. The reversal of 102675105 is 501576201.

It is not a de Polignac number, because 102675105 - 2⁷ = 102674977 is a prime.

It is a super-2 number, since 2×102675105² = 21084354373522050, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 174622 + ... + 175208.

It is an arithmetic number, because the mean of its divisors is an integer number (2797704).

Almost surely, 2^102675105 is an apocalyptic number.

102675105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

102675105 is a deficient number, since it is larger than the sum of its proper divisors (98759583).

102675105 is a wasteful number, since it uses less digits than its factorization.

102675105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 647 (or 631 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 27.

The square root of 102675105 is about 10132.8724950036. The cubic root of 102675105 is about 468.2614280114.

The spelling of 102675105 in words is "one hundred two million, six hundred seventy-five thousand, one hundred five".