102103925760 has 704 divisors, whose sum is σ = 401120294400. Its totient is φ = 24498929664.

The previous prime is 102103925719. The next prime is 102103925849. The reversal of 102103925760 is 67529301201.

102103925760 is a `hidden beast` number, since 1 + 0 + 210 + 392 + 57 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 54050896 + ... + 54052784.

Almost surely, 2^102103925760 is an apocalyptic number.

102103925760 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 102103925760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200560147200).

102103925760 is an abundant number, since it is smaller than the sum of its proper divisors (299016368640).

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

102103925760 is a wasteful number, since it uses less digits than its factorization.

102103925760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1963 (or 1939 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The spelling of 102103925760 in words is "one hundred two billion, one hundred three million, nine hundred twenty-five thousand, seven hundred sixty".