102653124 has 48 divisors (see below), whose sum is σ = 288153600. Its totient is φ = 27785376.

The previous prime is 102653113. The next prime is 102653137. The reversal of 102653124 is 421356201.

It is a junction number, because it is equal to n+sod(n) for n = 102653094 and 102653103.

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 15 ways as a sum of consecutive naturals, for example, 30564 + ... + 33755.

It is an arithmetic number, because the mean of its divisors is an integer number (6003200).

Almost surely, 2^102653124 is an apocalyptic number.

102653124 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

102653124 is an abundant number, since it is smaller than the sum of its proper divisors (185500476).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102653124 is a wasteful number, since it uses less digits than its factorization.

102653124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64352 (or 64350 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 102653124 is about 10131.7877988043. The cubic root of 102653124 is about 468.2280100144.

The spelling of 102653124 in words is "one hundred two million, six hundred fifty-three thousand, one hundred twenty-four".