100400912336 has 80 divisors (see below), whose sum is σ = 206554666560. Its totient is φ = 47144540160.

The previous prime is 100400912309. The next prime is 100400912351. The reversal of 100400912336 is 633219004001.

It is a junction number, because it is equal to n+sod(n) for n = 100400912299 and 100400912308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16627910 + ... + 16633946.

It is an arithmetic number, because the mean of its divisors is an integer number (2581933332).

Almost surely, 2^100400912336 is an apocalyptic number.

100400912336 is a gapful number since it is divisible by the number (16) 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 100400912336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103277333280).

100400912336 is an abundant number, since it is smaller than the sum of its proper divisors (106153754224).

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

100400912336 is a wasteful number, since it uses less digits than its factorization.

100400912336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6532 (or 6526 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 29.

Adding to 100400912336 its reverse (633219004001), we get a palindrome (733619916337).

The spelling of 100400912336 in words is "one hundred billion, four hundred million, nine hundred twelve thousand, three hundred thirty-six".