100477903680 has 896 divisors, whose sum is σ = 465246720000. Its totient is φ = 19777167360.

The previous prime is 100477903667. The next prime is 100477903681. The reversal of 100477903680 is 86309774001.

100477903680 is a `hidden beast` number, since 10 + 0 + 477 + 90 + 3 + 6 + 80 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100477903681) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 12636346 + ... + 12644294.

Almost surely, 2^100477903680 is an apocalyptic number.

100477903680 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 100477903680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232623360000).

100477903680 is an abundant number, since it is smaller than the sum of its proper divisors (364768816320).

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

100477903680 is a wasteful number, since it uses less digits than its factorization.

100477903680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8012 (or 7996 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 100477903680 in words is "one hundred billion, four hundred seventy-seven million, nine hundred three thousand, six hundred eighty".