102414564 has 48 divisors (see below), whose sum is σ = 303452800. Its totient is φ = 29261088.

The previous prime is 102414563. The next prime is 102414569. The reversal of 102414564 is 465414201.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (102414563) by changing a digit.

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, 66979 + ... + 68490.

Almost surely, 2^102414564 is an apocalyptic number.

102414564 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

102414564 is an abundant number, since it is smaller than the sum of its proper divisors (201038236).

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

102414564 is a wasteful number, since it uses less digits than its factorization.

102414564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135489 (or 135481 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 102414564 is about 10120.0081027636. The cubic root of 102414564 is about 467.8650169555.

Adding to 102414564 its reverse (465414201), we get a palindrome (567828765).

The spelling of 102414564 in words is "one hundred two million, four hundred fourteen thousand, five hundred sixty-four".