105950972 has 48 divisors (see below), whose sum is σ = 200309760. Its totient is φ = 48916032.

The previous prime is 105950969. The next prime is 105950989. The reversal of 105950972 is 279059501.

It is a super-2 number, since 2×105950972² = 22451216935489568, 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 15 ways as a sum of consecutive naturals, for example, 462554 + ... + 462782.

It is an arithmetic number, because the mean of its divisors is an integer number (4173120).

Almost surely, 2^105950972 is an apocalyptic number.

It is an amenable number.

105950972 is a deficient number, since it is larger than the sum of its proper divisors (94358788).

105950972 is a wasteful number, since it uses less digits than its factorization.

105950972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 28350, while the sum is 38.

The square root of 105950972 is about 10293.2488554392. The cubic root of 105950972 is about 473.1893721203.

The spelling of 105950972 in words is "one hundred five million, nine hundred fifty thousand, nine hundred seventy-two".