102814572 has 48 divisors (see below), whose sum is σ = 290304000. Its totient is φ = 27647232.

The previous prime is 102814571. The next prime is 102814583. The reversal of 102814572 is 275418201.

It is not an unprimeable number, because it can be changed into a prime (102814571) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34572 + ... + 37427.

It is an arithmetic number, because the mean of its divisors is an integer number (6048000).

Almost surely, 2^102814572 is an apocalyptic number.

102814572 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102814572 is an abundant number, since it is smaller than the sum of its proper divisors (187489428).

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

102814572 is a wasteful number, since it uses less digits than its factorization.

102814572 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72030 (or 72028 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 30.

The square root of 102814572 is about 10139.7520679748. The cubic root of 102814572 is about 468.4733504286.

The spelling of 102814572 in words is "one hundred two million, eight hundred fourteen thousand, five hundred seventy-two".