102975075840 has 1280 divisors, whose sum is σ = 431172403200. Its totient is φ = 20808990720.

The previous prime is 102975075829. The next prime is 102975075857. The reversal of 102975075840 is 48570579201.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 102975075840.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1061598672 + ... + 1061598768.

It is an arithmetic number, because the mean of its divisors is an integer number (336853440).

Almost surely, 2^102975075840 is an apocalyptic number.

102975075840 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 102975075840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215586201600).

102975075840 is an abundant number, since it is smaller than the sum of its proper divisors (328197327360).

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

102975075840 is an equidigital number, since it uses as much as digits as its factorization.

102975075840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 48.

The spelling of 102975075840 in words is "one hundred two billion, nine hundred seventy-five million, seventy-five thousand, eight hundred forty".