100118163456 has 832 divisors, whose sum is σ = 339697152000. Its totient is φ = 28983951360.

The previous prime is 100118163347. The next prime is 100118163503. The reversal of 100118163456 is 654361811001.

It is a happy number.

100118163456 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 18 + 1 + 634 + 5 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 100118163456.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1889021926 + ... + 1889021978.

Almost surely, 2^100118163456 is an apocalyptic number.

100118163456 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 100118163456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169848576000).

100118163456 is an abundant number, since it is smaller than the sum of its proper divisors (239578988544).

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

100118163456 is a wasteful number, since it uses less digits than its factorization.

100118163456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

Adding to 100118163456 its reverse (654361811001), we get a palindrome (754479974457).

The spelling of 100118163456 in words is "one hundred billion, one hundred eighteen million, one hundred sixty-three thousand, four hundred fifty-six".