101105992 has 48 divisors (see below), whose sum is σ = 215546940. Its totient is φ = 44191872.

The previous prime is 101105981. The next prime is 101106013. The reversal of 101105992 is 299501101.

It can be written as a sum of positive squares in 2 ways, for example, as 95374756 + 5731236 = 9766^2 + 2394^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 101105992.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36198 + ... + 38890.

Almost surely, 2^101105992 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101105992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107773470).

101105992 is an abundant number, since it is smaller than the sum of its proper divisors (114440948).

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

101105992 is a wasteful number, since it uses less digits than its factorization.

101105992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2750 (or 2727 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 28.

The square root of 101105992 is about 10055.1475374556. The cubic root of 101105992 is about 465.8638000163.

The spelling of 101105992 in words is "one hundred one million, one hundred five thousand, nine hundred ninety-two".