102540936960 has 1728 divisors, whose sum is σ = 476023726080. Its totient is φ = 20437401600.

The previous prime is 102540936941. The next prime is 102540937019. The reversal of 102540936960 is 69639045201.

102540936960 is a `hidden beast` number, since 10 + 2 + 540 + 9 + 3 + 6 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 907441864 + ... + 907441976.

Almost surely, 2^102540936960 is an apocalyptic number.

102540936960 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 102540936960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238011863040).

102540936960 is an abundant number, since it is smaller than the sum of its proper divisors (373482789120).

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

102540936960 is a wasteful number, since it uses less digits than its factorization.

102540936960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The spelling of 102540936960 in words is "one hundred two billion, five hundred forty million, nine hundred thirty-six thousand, nine hundred sixty".