100777613112 has 96 divisors (see below), whose sum is σ = 297973054080. Its totient is φ = 30516002880.

The previous prime is 100777613039. The next prime is 100777613129. The reversal of 100777613112 is 211316777001.

It is a super-2 number, since 2×100777613112² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1036123 + ... + 1129205.

It is an arithmetic number, because the mean of its divisors is an integer number (3103885980).

Almost surely, 2^100777613112 is an apocalyptic number.

100777613112 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 100777613112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148986527040).

100777613112 is an abundant number, since it is smaller than the sum of its proper divisors (197195440968).

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

100777613112 is a wasteful number, since it uses less digits than its factorization.

100777613112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94473 (or 94466 counting only the distinct ones).

The product of its (nonzero) digits is 12348, while the sum is 36.

The spelling of 100777613112 in words is "one hundred billion, seven hundred seventy-seven million, six hundred thirteen thousand, one hundred twelve".