102879732 has 48 divisors (see below), whose sum is σ = 243835200. Its totient is φ = 33758208.

The previous prime is 102879727. The next prime is 102879743. The reversal of 102879732 is 237978201.

It is a super-3 number, since 3×102879732³ (a number of 25 digits) contains 333 as substring.

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 15 ways as a sum of consecutive naturals, for example, 291268 + ... + 291620.

It is an arithmetic number, because the mean of its divisors is an integer number (5079900).

Almost surely, 2^102879732 is an apocalyptic number.

102879732 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102879732 is an abundant number, since it is smaller than the sum of its proper divisors (140955468).

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

102879732 is a wasteful number, since it uses less digits than its factorization.

102879732 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 672 (or 670 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 39.

The square root of 102879732 is about 10142.9646553658. The cubic root of 102879732 is about 468.5722964454.

The spelling of 102879732 in words is "one hundred two million, eight hundred seventy-nine thousand, seven hundred thirty-two".