105638116 has 24 divisors (see below), whose sum is σ = 189464184. Its totient is φ = 51517440.

The previous prime is 105638101. The next prime is 105638123. The reversal of 105638116 is 611836501.

It can be written as a sum of positive squares in 4 ways, for example, as 18028516 + 87609600 = 4246^2 + 9360^2 .

It is a super-2 number, since 2×105638116² = 22318823104058912, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36996 + ... + 39748.

It is an arithmetic number, because the mean of its divisors is an integer number (7894341).

Almost surely, 2^105638116 is an apocalyptic number.

It is an amenable number.

105638116 is a deficient number, since it is larger than the sum of its proper divisors (83826068).

105638116 is a wasteful number, since it uses less digits than its factorization.

105638116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2991 (or 2989 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 31.

The square root of 105638116 is about 10278.0404747209. The cubic root of 105638116 is about 472.7231625024.

The spelling of 105638116 in words is "one hundred five million, six hundred thirty-eight thousand, one hundred sixteen".