105113829 has 4 divisors (see below), whose sum is σ = 140151776. Its totient is φ = 70075884.

The previous prime is 105113809. The next prime is 105113849. The reversal of 105113829 is 928311501.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is an interprime number because it is at equal distance from previous prime (105113809) and next prime (105113849).

It is not a de Polignac number, because 105113829 - 2¹² = 105109733 is a prime.

It is a super-2 number, since 2×105113829² = 22097834094082482, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 105113796 and 105113805.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105113809) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 17518969 + ... + 17518974.

It is an arithmetic number, because the mean of its divisors is an integer number (35037944).

Almost surely, 2^105113829 is an apocalyptic number.

It is an amenable number.

105113829 is a deficient number, since it is larger than the sum of its proper divisors (35037947).

105113829 is an equidigital number, since it uses as much as digits as its factorization.

105113829 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35037946.

The product of its (nonzero) digits is 2160, while the sum is 30.

The square root of 105113829 is about 10252.5035479145. The cubic root of 105113829 is about 471.9398159522.

The spelling of 105113829 in words is "one hundred five million, one hundred thirteen thousand, eight hundred twenty-nine".