100257063480 has 576 divisors, whose sum is σ = 409199169600. Its totient is φ = 21161226240.

The previous prime is 100257063479. The next prime is 100257063499. The reversal of 100257063480 is 84360752001.

100257063480 is a `hidden beast` number, since 1 + 0 + 0 + 2 + 570 + 6 + 3 + 4 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 11761620 + ... + 11770140.

It is an arithmetic number, because the mean of its divisors is an integer number (710415225).

Almost surely, 2^100257063480 is an apocalyptic number.

100257063480 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 100257063480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204599584800).

100257063480 is an abundant number, since it is smaller than the sum of its proper divisors (308942106120).

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

100257063480 is a wasteful number, since it uses less digits than its factorization.

100257063480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8604 (or 8590 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 100257063480 in words is "one hundred billion, two hundred fifty-seven million, sixty-three thousand, four hundred eighty".