102406245580800 has 3420 divisors, whose sum is σ = 459146160574464. Its totient is φ = 22473709977600.

The previous prime is 102406245580787. The next prime is 102406245580853. The reversal of 102406245580800 is 8085542604201.

102406245580800 is a `hidden beast` number, since 1 + 0 + 2 + 4 + 0 + 62 + 4 + 5 + 580 + 8 + 0 + 0 = 666.

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 (17) of ones.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 806348390337 + ... + 806348390463.

Almost surely, 2^{102406245580800} is an apocalyptic number.

102406245580800 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 102406245580800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229573080287232).

102406245580800 is an abundant number, since it is smaller than the sum of its proper divisors (356739914993664).

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

102406245580800 is an frugal number, since it uses more digits than its factorization.

102406245580800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 45.

The spelling of 102406245580800 in words is "one hundred two trillion, four hundred six billion, two hundred forty-five million, five hundred eighty thousand, eight hundred".