102884020 has 48 divisors (see below), whose sum is σ = 220238928. Its totient is φ = 40366080.

The previous prime is 102883997. The next prime is 102884029. The reversal of 102884020 is 20488201.

It can be written as a sum of positive squares in 8 ways, for example, as 2643876 + 100240144 = 1626^2 + 10012^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102884029) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 350994 + ... + 351286.

It is an arithmetic number, because the mean of its divisors is an integer number (4588311).

Almost surely, 2^102884020 is an apocalyptic number.

102884020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102884020 is an abundant number, since it is smaller than the sum of its proper divisors (117354908).

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

102884020 is a wasteful number, since it uses less digits than its factorization.

102884020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 580 (or 578 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 25.

The square root of 102884020 is about 10143.1760312044. The cubic root of 102884020 is about 468.5788063447.

The spelling of 102884020 in words is "one hundred two million, eight hundred eighty-four thousand, twenty".