105692429 has 8 divisors (see below), whose sum is σ = 110406912. Its totient is φ = 100987920.

The previous prime is 105692413. The next prime is 105692437. The reversal of 105692429 is 924296501.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 105692429 - 2⁴ = 105692413 is a prime.

It is a super-2 number, since 2×105692429² = 22341779095840082, 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 = 105692392 and 105692401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105692479) 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, 26447 + ... + 30179.

It is an arithmetic number, because the mean of its divisors is an integer number (13800864).

Almost surely, 2^105692429 is an apocalyptic number.

It is an amenable number.

105692429 is a deficient number, since it is larger than the sum of its proper divisors (4714483).

105692429 is a wasteful number, since it uses less digits than its factorization.

105692429 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4987.

The product of its (nonzero) digits is 38880, while the sum is 38.

The square root of 105692429 is about 10280.6823217139. The cubic root of 105692429 is about 472.8041642441.

The spelling of 105692429 in words is "one hundred five million, six hundred ninety-two thousand, four hundred twenty-nine".