111742496 has 72 divisors (see below), whose sum is σ = 246270780. Its totient is φ = 49729536.

The previous prime is 111742493. The next prime is 111742511. The reversal of 111742496 is 694247111.

It can be written as a sum of positive squares in 2 ways, for example, as 111598096 + 144400 = 10564^2 + 380^2 .

It is not an unprimeable number, because it can be changed into a prime (111742493) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 196100 + ... + 196668.

Almost surely, 2^111742496 is an apocalyptic number.

111742496 is a gapful number since it is divisible by the number (16) 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 111742496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123135390).

111742496 is an abundant number, since it is smaller than the sum of its proper divisors (134528284).

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

111742496 is a wasteful number, since it uses less digits than its factorization.

111742496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 634 (or 607 counting only the distinct ones).

The product of its digits is 12096, while the sum is 35.

The square root of 111742496 is about 10570.8323229536. The cubic root of 111742496 is about 481.6587519336.

The spelling of 111742496 in words is "one hundred eleven million, seven hundred forty-two thousand, four hundred ninety-six".