102595863040 has 160 divisors (see below), whose sum is σ = 268704158976. Its totient is φ = 37258690560.

The previous prime is 102595863023. The next prime is 102595863061. The reversal of 102595863040 is 40368595201.

102595863040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×102595863040² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26834569 + ... + 26838391.

Almost surely, 2^102595863040 is an apocalyptic number.

102595863040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102595863040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134352079488).

102595863040 is an abundant number, since it is smaller than the sum of its proper divisors (166108295936).

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

102595863040 is an equidigital number, since it uses as much as digits as its factorization.

102595863040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4810 (or 4794 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 43.

The spelling of 102595863040 in words is "one hundred two billion, five hundred ninety-five million, eight hundred sixty-three thousand, forty".