102145834880 has 64 divisors (see below), whose sum is σ = 250792238880. Its totient is φ = 39754045440.

The previous prime is 102145834867. The next prime is 102145834927. The reversal of 102145834880 is 88438541201.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×102145834880² (a number of 23 digits) contains 22 as substring.

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, 2133116 + ... + 2180475.

Almost surely, 2^102145834880 is an apocalyptic number.

102145834880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102145834880 is an abundant number, since it is smaller than the sum of its proper divisors (148646404000).

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

102145834880 is an equidigital number, since it uses as much as digits as its factorization.

102145834880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4313647 (or 4313635 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 44.

The spelling of 102145834880 in words is "one hundred two billion, one hundred forty-five million, eight hundred thirty-four thousand, eight hundred eighty".