105112766 has 16 divisors (see below), whose sum is σ = 176199408. Its totient is φ = 46612800.

The previous prime is 105112759. The next prime is 105112801. The reversal of 105112766 is 667211501.

It is a super-2 number, since 2×105112766² = 22097387152341512, which contains 22 as substring.

It is a congruent number.

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, 57365 + ... + 59168.

It is an arithmetic number, because the mean of its divisors is an integer number (11012463).

Almost surely, 2^105112766 is an apocalyptic number.

105112766 is a deficient number, since it is larger than the sum of its proper divisors (71086642).

105112766 is a wasteful number, since it uses less digits than its factorization.

105112766 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116587.

The product of its (nonzero) digits is 2520, while the sum is 29.

The square root of 105112766 is about 10252.4517067870. The cubic root of 105112766 is about 471.9382250619.

The spelling of 105112766 in words is "one hundred five million, one hundred twelve thousand, seven hundred sixty-six".