105990976 has 56 divisors (see below), whose sum is σ = 258876800. Its totient is φ = 41928192.

The previous prime is 105990967. The next prime is 105990979. The reversal of 105990976 is 679099501.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×105990976² = 22468173986865152, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105990979) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3276 + ... + 14923.

It is an arithmetic number, because the mean of its divisors is an integer number (4622800).

Almost surely, 2^105990976 is an apocalyptic number.

105990976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

105990976 is an abundant number, since it is smaller than the sum of its proper divisors (152885824).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105990976 is a wasteful number, since it uses less digits than its factorization.

105990976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18231 (or 18221 counting only the distinct ones).

The product of its (nonzero) digits is 153090, while the sum is 46.

The square root of 105990976 is about 10295.1918874783. The cubic root of 105990976 is about 473.2489187999.

The spelling of 105990976 in words is "one hundred five million, nine hundred ninety thousand, nine hundred seventy-six".