105651916 has 24 divisors (see below), whose sum is σ = 189876960. Its totient is φ = 51408000.

The previous prime is 105651883. The next prime is 105651919. The reversal of 105651916 is 619156501.

It is a super-2 number, since 2×105651916² = 22324654708942112, which contains 22 as substring.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (105651919) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 114505 + ... + 115423.

It is an arithmetic number, because the mean of its divisors is an integer number (7911540).

Almost surely, 2^105651916 is an apocalyptic number.

It is an amenable number.

105651916 is a deficient number, since it is larger than the sum of its proper divisors (84225044).

105651916 is a wasteful number, since it uses less digits than its factorization.

105651916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1665 (or 1663 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 34.

The square root of 105651916 is about 10278.7117869897. The cubic root of 105651916 is about 472.7437462836.

The spelling of 105651916 in words is "one hundred five million, six hundred fifty-one thousand, nine hundred sixteen".