105972970 has 32 divisors (see below), whose sum is σ = 196888320. Its totient is φ = 41046720.

The previous prime is 105972913. The next prime is 105973001. The reversal of 105972970 is 79279501.

It is a super-2 number, since 2×105972970² = 22460540741241800, which contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 40605 + ... + 43135.

It is an arithmetic number, because the mean of its divisors is an integer number (6152760).

Almost surely, 2^105972970 is an apocalyptic number.

105972970 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105972970 is a deficient number, since it is larger than the sum of its proper divisors (90915350).

105972970 is a wasteful number, since it uses less digits than its factorization.

105972970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2670.

The product of its (nonzero) digits is 39690, while the sum is 40.

The square root of 105972970 is about 10294.3173644492. The cubic root of 105972970 is about 473.2221183969. Note that the first 3 decimals are identical.

The spelling of 105972970 in words is "one hundred five million, nine hundred seventy-two thousand, nine hundred seventy".