102970775203400 has 192 divisors, whose sum is σ = 259006610016000. Its totient is φ = 37845573120000.

The previous prime is 102970775203399. The next prime is 102970775203511. The reversal of 102970775203400 is 4302577079201.

It is a super-2 number, since 2×102970775203400² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1473101651 + ... + 1473171549.

It is an arithmetic number, because the mean of its divisors is an integer number (1348992760500).

Almost surely, 2^{102970775203400} is an apocalyptic number.

102970775203400 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 102970775203400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129503305008000).

102970775203400 is an abundant number, since it is smaller than the sum of its proper divisors (156035834812600).

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

102970775203400 is a wasteful number, since it uses less digits than its factorization.

102970775203400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72520 (or 72511 counting only the distinct ones).

The product of its (nonzero) digits is 740880, while the sum is 47.

The spelling of 102970775203400 in words is "one hundred two trillion, nine hundred seventy billion, seven hundred seventy-five million, two hundred three thousand, four hundred".