102709520 has 40 divisors (see below), whose sum is σ = 239222040. Its totient is φ = 41011200.

The previous prime is 102709489. The next prime is 102709531. The reversal of 102709520 is 25907201.

It can be written as a sum of positive squares in 4 ways, for example, as 456976 + 102252544 = 676^2 + 10112^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 102709520.

It is a congruent number.

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, 84920 + ... + 86120.

It is an arithmetic number, because the mean of its divisors is an integer number (5980551).

Almost surely, 2^102709520 is an apocalyptic number.

102709520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102709520 is an abundant number, since it is smaller than the sum of its proper divisors (136512520).

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

102709520 is a wasteful number, since it uses less digits than its factorization.

102709520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2283 (or 2277 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 26.

The square root of 102709520 is about 10134.5705385083. The cubic root of 102709520 is about 468.3137400003.

The spelling of 102709520 in words is "one hundred two million, seven hundred nine thousand, five hundred twenty".