100255316129280 has 640 divisors, whose sum is σ = 384092941478400. Its totient is φ = 24640638124032.

The previous prime is 100255316129279. The next prime is 100255316129291. The reversal of 100255316129280 is 82921613552001.

100255316129280 is a `hidden beast` number, since 1 + 0 + 0 + 2 + 5 + 5 + 3 + 1 + 612 + 9 + 28 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×100255316129280² (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 592066387 + ... + 592235693.

It is an arithmetic number, because the mean of its divisors is an integer number (600145221060).

Almost surely, 2^{100255316129280} is an apocalyptic number.

100255316129280 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 100255316129280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192046470739200).

100255316129280 is an abundant number, since it is smaller than the sum of its proper divisors (283837625349120).

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

100255316129280 is a wasteful number, since it uses less digits than its factorization.

100255316129280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170011 (or 169989 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 100255316129280 in words is "one hundred trillion, two hundred fifty-five billion, three hundred sixteen million, one hundred twenty-nine thousand, two hundred eighty".