102975364800 has 1680 divisors, whose sum is σ = 500493109248. Its totient is φ = 20105625600.

The previous prime is 102975364799. The next prime is 102975364841. The reversal of 102975364800 is 8463579201.

102975364800 is a `hidden beast` number, since 10 + 29 + 7 + 536 + 4 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

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

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 239 ways as a sum of consecutive naturals, for example, 169646097 + ... + 169646703.

It is a 1-persistent number, because it is pandigital, but 2⋅102975364800 = 205950729600 is not.

Almost surely, 2^102975364800 is an apocalyptic number.

102975364800 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 102975364800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250246554624).

102975364800 is an abundant number, since it is smaller than the sum of its proper divisors (397517744448).

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

102975364800 is a wasteful number, since it uses less digits than its factorization.

102975364800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 676 (or 652 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 102975364800 in words is "one hundred two billion, nine hundred seventy-five million, three hundred sixty-four thousand, eight hundred".