105104692 has 48 divisors (see below), whose sum is σ = 231211008. Its totient is φ = 40612320.

The previous prime is 105104653. The next prime is 105104719. The reversal of 105104692 is 296401501.

It is a super-2 number, since 2×105104692² = 22093992560829728, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 105104692.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37773 + ... + 40459.

It is an arithmetic number, because the mean of its divisors is an integer number (4816896).

Almost surely, 2^105104692 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105104692, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115605504).

105104692 is an abundant number, since it is smaller than the sum of its proper divisors (126106316).

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

105104692 is a wasteful number, since it uses less digits than its factorization.

105104692 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2836 (or 2834 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 28.

The square root of 105104692 is about 10252.0579397504. The cubic root of 105104692 is about 471.9261411291.

The spelling of 105104692 in words is "one hundred five million, one hundred four thousand, six hundred ninety-two".