102595840 has 36 divisors (see below), whose sum is σ = 245752164. Its totient is φ = 41037824.

The previous prime is 102595837. The next prime is 102595849. The reversal of 102595840 is 48595201.

It can be written as a sum of positive squares in 2 ways, for example, as 79709184 + 22886656 = 8928^2 + 4784^2 .

It is a junction number, because it is equal to n+sod(n) for n = 102595796 and 102595805.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102595849) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 38797 + ... + 41356.

It is an arithmetic number, because the mean of its divisors is an integer number (6826449).

Almost surely, 2^102595840 is an apocalyptic number.

102595840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102595840 is an abundant number, since it is smaller than the sum of its proper divisors (143156324).

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

102595840 is an frugal number, since it uses more digits than its factorization.

102595840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80174 (or 80160 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 34.

The square root of 102595840 is about 10128.9604599880. The cubic root of 102595840 is about 468.1408979909.

The spelling of 102595840 in words is "one hundred two million, five hundred ninety-five thousand, eight hundred forty".