105950973 has 20 divisors (see below), whose sum is σ = 149666368. Its totient is φ = 66669480.

The previous prime is 105950969. The next prime is 105950989. The reversal of 105950973 is 379059501.

It is not a de Polignac number, because 105950973 - 2² = 105950969 is a prime.

It is a super-2 number, since 2×105950973² = 22451217359293458, which contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105970973) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 390828 + ... + 391098.

Almost surely, 2^105950973 is an apocalyptic number.

It is an amenable number.

105950973 is a deficient number, since it is larger than the sum of its proper divisors (43715395).

105950973 is an frugal number, since it uses more digits than its factorization.

105950973 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 42525, while the sum is 39.

The square root of 105950973 is about 10293.2489040147. The cubic root of 105950973 is about 473.1893736090.

The spelling of 105950973 in words is "one hundred five million, nine hundred fifty thousand, nine hundred seventy-three".