113964107 has 8 divisors (see below), whose sum is σ = 123929856. Its totient is φ = 104360832.

The previous prime is 113964089. The next prime is 113964127. The reversal of 113964107 is 701469311.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 113964107 - 2¹⁶ = 113898571 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (113964127) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 89963 + ... + 91220.

It is an arithmetic number, because the mean of its divisors is an integer number (15491232).

Almost surely, 2^113964107 is an apocalyptic number.

113964107 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

113964107 is a deficient number, since it is larger than the sum of its proper divisors (9965749).

113964107 is a wasteful number, since it uses less digits than its factorization.

113964107 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181237.

The product of its (nonzero) digits is 4536, while the sum is 32.

The square root of 113964107 is about 10675.3972759799. The cubic root of 113964107 is about 484.8298648649.

The spelling of 113964107 in words is "one hundred thirteen million, nine hundred sixty-four thousand, one hundred seven".