111038961 has 32 divisors (see below), whose sum is σ = 167049216. Its totient is φ = 65016000.

The previous prime is 111038933. The next prime is 111038987. The reversal of 111038961 is 169830111.

It is not a de Polignac number, because 111038961 - 2⁶ = 111038897 is a prime.

111038961 is a modest number, since divided by 38961 gives 111 as remainder.

It is not an unprimeable number, because it can be changed into a prime (111038461) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 257416 + ... + 257846.

It is an arithmetic number, because the mean of its divisors is an integer number (5220288).

Almost surely, 2^111038961 is an apocalyptic number.

111038961 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

111038961 is a deficient number, since it is larger than the sum of its proper divisors (56010255).

111038961 is a wasteful number, since it uses less digits than its factorization.

111038961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 693.

The product of its (nonzero) digits is 1296, while the sum is 30.

The square root of 111038961 is about 10537.5025978644. The cubic root of 111038961 is about 480.6457757708.

The spelling of 111038961 in words is "one hundred eleven million, thirty-eight thousand, nine hundred sixty-one".