105207921 has 48 divisors (see below), whose sum is σ = 196909440. Its totient is φ = 52565760.

The previous prime is 105207887. The next prime is 105207923. The reversal of 105207921 is 129702501.

It is not a de Polignac number, because 105207921 - 2⁷ = 105207793 is a prime.

It is a super-2 number, since 2×105207921² = 22137413282284482, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105207923) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12181 + ... + 18941.

It is an arithmetic number, because the mean of its divisors is an integer number (4102280).

Almost surely, 2^105207921 is an apocalyptic number.

It is an amenable number.

105207921 is a deficient number, since it is larger than the sum of its proper divisors (91701519).

105207921 is a wasteful number, since it uses less digits than its factorization.

105207921 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6806 (or 6803 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The square root of 105207921 is about 10257.0912543469. The cubic root of 105207921 is about 472.0805919672.

The spelling of 105207921 in words is "one hundred five million, two hundred seven thousand, nine hundred twenty-one".