105254879924 has 18 divisors (see below), whose sum is σ = 186031288422. Its totient is φ = 52103148000.

The previous prime is 105254879923. The next prime is 105254879941. The reversal of 105254879924 is 429978452501.

It can be written as a sum of positive squares in 3 ways, for example, as 32884195600 + 72370684324 = 181340^2 + 269018^2 .

It is a super-2 number, since 2×105254879924² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105254879924.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105254879923) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6512894 + ... + 6529034.

It is an arithmetic number, because the mean of its divisors is an integer number (10335071579).

Almost surely, 2^105254879924 is an apocalyptic number.

It is an amenable number.

105254879924 is a deficient number, since it is larger than the sum of its proper divisors (80776408498).

105254879924 is an frugal number, since it uses more digits than its factorization.

105254879924 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32387 (or 16244 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 56.

The spelling of 105254879924 in words is "one hundred five billion, two hundred fifty-four million, eight hundred seventy-nine thousand, nine hundred twenty-four".