105979616 has 24 divisors (see below), whose sum is σ = 209097000. Its totient is φ = 52875648.

The previous prime is 105979613. The next prime is 105979619. The reversal of 105979616 is 616979501.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (105979613) and next prime (105979619).

It is a super-2 number, since 2×105979616² = 22463358015014912, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105979613) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 12650 + ... + 19286.

It is an arithmetic number, because the mean of its divisors is an integer number (8712375).

Almost surely, 2^105979616 is an apocalyptic number.

105979616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

105979616 is a deficient number, since it is larger than the sum of its proper divisors (103117384).

105979616 is an equidigital number, since it uses as much as digits as its factorization.

105979616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7146 (or 7138 counting only the distinct ones).

The product of its (nonzero) digits is 102060, while the sum is 44.

The square root of 105979616 is about 10294.6401588399. The cubic root of 105979616 is about 473.2320107573.

The spelling of 105979616 in words is "one hundred five million, nine hundred seventy-nine thousand, six hundred sixteen".