102579408 has 30 divisors (see below), whose sum is σ = 287080274. Its totient is φ = 34193088.

The previous prime is 102579391. The next prime is 102579413. The reversal of 102579408 is 804975201.

It can be written as a sum of positive squares in only one way, i.e., 92390544 + 10188864 = 9612^2 + 3192^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 356035 + ... + 356322.

Almost surely, 2^102579408 is an apocalyptic number.

102579408 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

102579408 is an abundant number, since it is smaller than the sum of its proper divisors (184500866).

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

102579408 is a wasteful number, since it uses less digits than its factorization.

102579408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 712371 (or 712362 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 102579408 is about 10128.1492879993. The cubic root of 102579408 is about 468.1159037937.

The spelling of 102579408 in words is "one hundred two million, five hundred seventy-nine thousand, four hundred eight".