113400096 has 96 divisors (see below), whose sum is σ = 311931648. Its totient is φ = 36034560.

The previous prime is 113400071. The next prime is 113400103. The reversal of 113400096 is 690004311.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 184686 + ... + 185298.

It is an arithmetic number, because the mean of its divisors is an integer number (3249288).

Almost surely, 2^113400096 is an apocalyptic number.

113400096 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 113400096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155965824).

113400096 is an abundant number, since it is smaller than the sum of its proper divisors (198531552).

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

113400096 is a wasteful number, since it uses less digits than its factorization.

113400096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 714 (or 706 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 113400096 is about 10648.9481170677. The cubic root of 113400096 is about 484.0287303939.

The spelling of 113400096 in words is "one hundred thirteen million, four hundred thousand, ninety-six".