113890779090 has 96 divisors (see below), whose sum is σ = 323936496000. Its totient is φ = 27532892160.

The previous prime is 113890779077. The next prime is 113890779103. The reversal of 113890779090 is 90977098311.

It is an interprime number because it is at equal distance from previous prime (113890779077) and next prime (113890779103).

It is a super-2 number, since 2×113890779090² (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 195186 + ... + 515634.

It is an arithmetic number, because the mean of its divisors is an integer number (3374338500).

Almost surely, 2^113890779090 is an apocalyptic number.

113890779090 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 113890779090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161968248000).

113890779090 is an abundant number, since it is smaller than the sum of its proper divisors (210045716910).

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

113890779090 is a wasteful number, since it uses less digits than its factorization.

113890779090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320832 (or 320829 counting only the distinct ones).

The product of its (nonzero) digits is 857304, while the sum is 54.

The spelling of 113890779090 in words is "one hundred thirteen billion, eight hundred ninety million, seven hundred seventy-nine thousand, ninety".