105079731 has 16 divisors (see below), whose sum is σ = 145760160. Its totient is φ = 67253760.

The previous prime is 105079729. The next prime is 105079757. The reversal of 105079731 is 137970501.

It is not a de Polignac number, because 105079731 - 2¹ = 105079729 is a prime.

It is a super-2 number, since 2×105079731² = 22083499734064722, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105079692 and 105079701.

It is not an unprimeable number, because it can be changed into a prime (105079781) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12411 + ... + 19083.

It is an arithmetic number, because the mean of its divisors is an integer number (9110010).

Almost surely, 2^105079731 is an apocalyptic number.

105079731 is a deficient number, since it is larger than the sum of its proper divisors (40680429).

105079731 is a wasteful number, since it uses less digits than its factorization.

105079731 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6886.

The product of its (nonzero) digits is 6615, while the sum is 33.

The square root of 105079731 is about 10250.8405021247. The cubic root of 105079731 is about 471.8887793938. Note that the first 3 decimals are identical.

The spelling of 105079731 in words is "one hundred five million, seventy-nine thousand, seven hundred thirty-one".