100976054040 has 192 divisors, whose sum is σ = 347257497600. Its totient is φ = 25375852800.

The previous prime is 100976054029. The next prime is 100976054057. The reversal of 100976054040 is 40450679001.

100976054040 is a `hidden beast` number, since 1 + 0 + 0 + 9 + 7 + 605 + 4 + 0 + 40 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 100976053986 and 100976054004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1267795 + ... + 1345085.

It is an arithmetic number, because the mean of its divisors is an integer number (1808632800).

Almost surely, 2^100976054040 is an apocalyptic number.

100976054040 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 100976054040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173628748800).

100976054040 is an abundant number, since it is smaller than the sum of its proper divisors (246281443560).

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

100976054040 is a wasteful number, since it uses less digits than its factorization.

100976054040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77518 (or 77511 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 100976054040 in words is "one hundred billion, nine hundred seventy-six million, fifty-four thousand, forty".