102790436803200 has 1152 divisors, whose sum is σ = 390142266462000. Its totient is φ = 25719912529920.

The previous prime is 102790436803177. The next prime is 102790436803213. The reversal of 102790436803200 is 2308634097201.

102790436803200 is a `hidden beast` number, since 1 + 0 + 2 + 7 + 9 + 0 + 436 + 8 + 0 + 3 + 200 = 666.

It can be written as a sum of positive squares in 24 ways, for example, as 438042775104 + 102352394028096 = 661848^2 + 10116936^2 .

It is a tau number, because it is divible by the number of its divisors (1152).

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 143 ways as a sum of consecutive naturals, for example, 38226267456 + ... + 38226270144.

Almost surely, 2^{102790436803200} is an apocalyptic number.

102790436803200 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 102790436803200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195071133231000).

102790436803200 is an abundant number, since it is smaller than the sum of its proper divisors (287351829658800).

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

102790436803200 is a wasteful number, since it uses less digits than its factorization.

102790436803200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4022 (or 4002 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 102790436803200 in words is "one hundred two trillion, seven hundred ninety billion, four hundred thirty-six million, eight hundred three thousand, two hundred".