102724496 has 40 divisors (see below), whose sum is σ = 235312320. Its totient is φ = 42505344.

The previous prime is 102724493. The next prime is 102724499. The reversal of 102724496 is 694427201.

It is an interprime number because it is at equal distance from previous prime (102724493) and next prime (102724499).

It is not an unprimeable number, because it can be changed into a prime (102724493) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12566 + ... + 19061.

It is an arithmetic number, because the mean of its divisors is an integer number (5882808).

Almost surely, 2^102724496 is an apocalyptic number.

102724496 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

102724496 is an abundant number, since it is smaller than the sum of its proper divisors (132587824).

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

102724496 is a wasteful number, since it uses less digits than its factorization.

102724496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31671 (or 31665 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 35.

The square root of 102724496 is about 10135.3093687366. The cubic root of 102724496 is about 468.3365003888.

The spelling of 102724496 in words is "one hundred two million, seven hundred twenty-four thousand, four hundred ninety-six".