110107336460772 has 384 divisors, whose sum is σ = 304030914969600. Its totient is φ = 30367923715584.

The previous prime is 110107336460731. The next prime is 110107336460777. The reversal of 110107336460772 is 277064633701011.

It is not an unprimeable number, because it can be changed into a prime (110107336460777) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 101294697213 + ... + 101294698299.

It is an arithmetic number, because the mean of its divisors is an integer number (791747174400).

Almost surely, 2^{110107336460772} is an apocalyptic number.

110107336460772 is a gapful number since it is divisible by the number (12) 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 110107336460772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152015457484800).

110107336460772 is an abundant number, since it is smaller than the sum of its proper divisors (193923578508828).

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

110107336460772 is a wasteful number, since it uses less digits than its factorization.

110107336460772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2415 (or 2413 counting only the distinct ones).

The product of its (nonzero) digits is 889056, while the sum is 48.

The spelling of 110107336460772 in words is "one hundred ten trillion, one hundred seven billion, three hundred thirty-six million, four hundred sixty thousand, seven hundred seventy-two".