105797292 has 24 divisors (see below), whose sum is σ = 247543296. Its totient is φ = 35168208.

The previous prime is 105797287. The next prime is 105797297. The reversal of 105797292 is 292797501.

It is an interprime number because it is at equal distance from previous prime (105797287) and next prime (105797297).

It is a super-2 number, since 2×105797292² = 22386133989066528, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105797297) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7608 + ... + 16415.

It is an arithmetic number, because the mean of its divisors is an integer number (10314304).

Almost surely, 2^105797292 is an apocalyptic number.

105797292 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105797292 is an abundant number, since it is smaller than the sum of its proper divisors (141746004).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105797292 is a wasteful number, since it uses less digits than its factorization.

105797292 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24397 (or 24395 counting only the distinct ones).

The product of its (nonzero) digits is 79380, while the sum is 42.

The square root of 105797292 is about 10285.7810593071. The cubic root of 105797292 is about 472.9604771599.

It can be divided in two parts, 10579 and 7292, that added together give a palindrome (17871).

The spelling of 105797292 in words is "one hundred five million, seven hundred ninety-seven thousand, two hundred ninety-two".