105916955 has 16 divisors (see below), whose sum is σ = 135717120. Its totient is φ = 79160928.

The previous prime is 105916939. The next prime is 105916969. The reversal of 105916955 is 559619501.

It is a cyclic number.

It is not a de Polignac number, because 105916955 - 2⁴ = 105916939 is a prime.

It is a super-2 number, since 2×105916955² = 22436802712944050, which contains 22 as substring.

It is a house number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5765 + ... + 15654.

It is an arithmetic number, because the mean of its divisors is an integer number (8482320).

Almost surely, 2^105916955 is an apocalyptic number.

105916955 is a deficient number, since it is larger than the sum of its proper divisors (29800165).

105916955 is a wasteful number, since it uses less digits than its factorization.

105916955 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21490.

The product of its (nonzero) digits is 60750, while the sum is 41.

The square root of 105916955 is about 10291.5963290444. The cubic root of 105916955 is about 473.1387254060.

The spelling of 105916955 in words is "one hundred five million, nine hundred sixteen thousand, nine hundred fifty-five".