111638007 has 20 divisors (see below), whose sum is σ = 179597880. Its totient is φ = 68699664.

The previous prime is 111638003. The next prime is 111638017. The reversal of 111638007 is 700836111.

It is not a de Polignac number, because 111638007 - 2² = 111638003 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111638003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 51957 + ... + 54062.

It is an arithmetic number, because the mean of its divisors is an integer number (8979894).

Almost surely, 2^111638007 is an apocalyptic number.

111638007 is a deficient number, since it is larger than the sum of its proper divisors (67959873).

111638007 is a wasteful number, since it uses less digits than its factorization.

111638007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106044 (or 106035 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 111638007 is about 10565.8888409826. Note that the first 4 decimals coincide. The cubic root of 111638007 is about 481.5085741042.

The spelling of 111638007 in words is "one hundred eleven million, six hundred thirty-eight thousand, seven".