102600011472800 has 72 divisors (see below), whose sum is σ = 250491839144652. Its totient is φ = 41036799488000.

The previous prime is 102600011472797. The next prime is 102600011472811. The reversal of 102600011472800 is 8274110006201.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 3691178507536 + 98908832965264 = 1921244^2 + 9945292^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5255240 + ... + 15258360.

Almost surely, 2^{102600011472800} is an apocalyptic number.

102600011472800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102600011472800 is an abundant number, since it is smaller than the sum of its proper divisors (147891827671852).

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

102600011472800 is a wasteful number, since it uses less digits than its factorization.

102600011472800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10015962 (or 10015949 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 32.

The spelling of 102600011472800 in words is "one hundred two trillion, six hundred billion, eleven million, four hundred seventy-two thousand, eight hundred".