102624040 has 32 divisors (see below), whose sum is σ = 238869000. Its totient is φ = 39633664.

The previous prime is 102624037. The next prime is 102624061. The reversal of 102624040 is 40426201.

It can be written as a sum of positive squares in 4 ways, for example, as 99082116 + 3541924 = 9954^2 + 1882^2 .

It is a junction number, because it is equal to n+sod(n) for n = 102623999 and 102624017.

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, 43075 + ... + 45394.

Almost surely, 2^102624040 is an apocalyptic number.

102624040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102624040 is an abundant number, since it is smaller than the sum of its proper divisors (136244960).

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

102624040 is a wasteful number, since it uses less digits than its factorization.

102624040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88509 (or 88505 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 102624040 is about 10130.3524124287. The cubic root of 102624040 is about 468.1837859025.

The spelling of 102624040 in words is "one hundred two million, six hundred twenty-four thousand, forty".