102564114 has 16 divisors (see below), whose sum is σ = 207244128. Its totient is φ = 33835392.

The previous prime is 102564103. The next prime is 102564127. The reversal of 102564114 is 411465201.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 87532 + ... + 88695.

It is an arithmetic number, because the mean of its divisors is an integer number (12952758).

Almost surely, 2^102564114 is an apocalyptic number.

102564114 is an abundant number, since it is smaller than the sum of its proper divisors (104680014).

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

102564114 is a wasteful number, since it uses less digits than its factorization.

102564114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176329.

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 102564114 is about 10127.3942354388. The cubic root of 102564114 is about 468.0926381741.

It can be divided in two parts, 102 and 564114, that multiplied together give a triangular number (57539628 = T₁₀₇₂₇).

The spelling of 102564114 in words is "one hundred two million, five hundred sixty-four thousand, one hundred fourteen".