113778090 has 48 divisors (see below), whose sum is σ = 298895688. Its totient is φ = 30025728.

The previous prime is 113778073. The next prime is 113778113. The reversal of 113778090 is 90877311.

It can be written as a sum of positive squares in 4 ways, for example, as 94303521 + 19474569 = 9711^2 + 4413^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2214 + ... + 15246.

Almost surely, 2^113778090 is an apocalyptic number.

113778090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 113778090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149447844).

113778090 is an abundant number, since it is smaller than the sum of its proper divisors (185117598).

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

113778090 is a wasteful number, since it uses less digits than its factorization.

113778090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13143 (or 13140 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 36.

The square root of 113778090 is about 10666.6813020733. The cubic root of 113778090 is about 484.5659346601.

The spelling of 113778090 in words is "one hundred thirteen million, seven hundred seventy-eight thousand, ninety".