102607440 has 80 divisors (see below), whose sum is σ = 342561408. Its totient is φ = 25256448.

The previous prime is 102607433. The next prime is 102607457. The reversal of 102607440 is 44706201.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 102607440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13324 + ... + 19563.

Almost surely, 2^102607440 is an apocalyptic number.

102607440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102607440 is an abundant number, since it is smaller than the sum of its proper divisors (239953968).

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

102607440 is a wasteful number, since it uses less digits than its factorization.

102607440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32916 (or 32910 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 102607440 is about 10129.5330593271. The cubic root of 102607440 is about 468.1585407782.

The spelling of 102607440 in words is "one hundred two million, six hundred seven thousand, four hundred forty".