102724640 has 48 divisors (see below), whose sum is σ = 255467520. Its totient is φ = 38926080.

The previous prime is 102724631. The next prime is 102724663. The reversal of 102724640 is 46427201.

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, 13856 + ... + 19935.

It is an arithmetic number, because the mean of its divisors is an integer number (5322240).

Almost surely, 2^102724640 is an apocalyptic number.

102724640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102724640 is an abundant number, since it is smaller than the sum of its proper divisors (152742880).

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

102724640 is a wasteful number, since it uses less digits than its factorization.

102724640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33825 (or 33817 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 26.

The square root of 102724640 is about 10135.3164726120. The cubic root of 102724640 is about 468.3367192279.

The spelling of 102724640 in words is "one hundred two million, seven hundred twenty-four thousand, six hundred forty".