111905409132 has 108 divisors (see below), whose sum is σ = 311990165760. Its totient is φ = 33794608320.

The previous prime is 111905409107. The next prime is 111905409137. The reversal of 111905409132 is 231904509111.

111905409132 is a `hidden beast` number, since 1 + 11 + 90 + 540 + 9 + 13 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (111905409137) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1232469 + ... + 1320147.

Almost surely, 2^111905409132 is an apocalyptic number.

111905409132 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 111905409132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155995082880).

111905409132 is an abundant number, since it is smaller than the sum of its proper divisors (200084756628).

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

111905409132 is a wasteful number, since it uses less digits than its factorization.

111905409132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88004 (or 87988 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 36.

The spelling of 111905409132 in words is "one hundred eleven billion, nine hundred five million, four hundred nine thousand, one hundred thirty-two".