102624105 has 32 divisors (see below), whose sum is σ = 171601920. Its totient is φ = 52309440.

The previous prime is 102624089. The next prime is 102624113. The reversal of 102624105 is 501426201.

It is not a de Polignac number, because 102624105 - 2⁴ = 102624089 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37266 + ... + 39924.

It is an arithmetic number, because the mean of its divisors is an integer number (5362560).

Almost surely, 2^102624105 is an apocalyptic number.

102624105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

102624105 is a deficient number, since it is larger than the sum of its proper divisors (68977815).

102624105 is a wasteful number, since it uses less digits than its factorization.

102624105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2781.

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 102624105 is about 10130.3556206088. The cubic root of 102624105 is about 468.1838847485.

The spelling of 102624105 in words is "one hundred two million, six hundred twenty-four thousand, one hundred five".