100110079944 has 576 divisors, whose sum is σ = 357725160000. Its totient is φ = 25054396416.

The previous prime is 100110079877. The next prime is 100110079981. The reversal of 100110079944 is 449970011001.

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 = 100110079899 and 100110079908.

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, 67232352 + ... + 67233840.

It is an arithmetic number, because the mean of its divisors is an integer number (621050625).

Almost surely, 2^100110079944 is an apocalyptic number.

100110079944 is a gapful number since it is divisible by the number (14) 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 100110079944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178862580000).

100110079944 is an abundant number, since it is smaller than the sum of its proper divisors (257615080056).

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

100110079944 is a wasteful number, since it uses less digits than its factorization.

100110079944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1610 (or 1596 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The spelling of 100110079944 in words is "one hundred billion, one hundred ten million, seventy-nine thousand, nine hundred forty-four".