105009976 has 16 divisors (see below), whose sum is σ = 197002800. Its totient is φ = 52475904.

The previous prime is 105009953. The next prime is 105009991. The reversal of 105009976 is 679900501.

It is a super-2 number, since 2×105009976² = 22054190119041152, which contains 22 as substring.

It is a congruent 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 3 ways as a sum of consecutive naturals, for example, 24661 + ... + 28603.

It is an arithmetic number, because the mean of its divisors is an integer number (12312675).

Almost surely, 2^105009976 is an apocalyptic number.

It is an amenable number.

105009976 is a deficient number, since it is larger than the sum of its proper divisors (91992824).

105009976 is a wasteful number, since it uses less digits than its factorization.

105009976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7278 (or 7274 counting only the distinct ones).

The product of its (nonzero) digits is 17010, while the sum is 37.

The square root of 105009976 is about 10247.4375333544. The cubic root of 105009976 is about 471.7843384205.

The spelling of 105009976 in words is "one hundred five million, nine thousand, nine hundred seventy-six".