105476852992 has 36 divisors (see below), whose sum is σ = 240619074976. Its totient is φ = 45204364800.

The previous prime is 105476852951. The next prime is 105476852993. The reversal of 105476852992 is 299258674501.

It is a happy number.

It is a super-2 number, since 2×105476852992² (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (58) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105476852993) 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, 29428134 + ... + 29431717.

Almost surely, 2^105476852992 is an apocalyptic number.

It is an amenable number.

105476852992 is an abundant number, since it is smaller than the sum of its proper divisors (135142221984).

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

105476852992 is an frugal number, since it uses more digits than its factorization.

105476852992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58859874 (or 58859860 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 58.

The spelling of 105476852992 in words is "one hundred five billion, four hundred seventy-six million, eight hundred fifty-two thousand, nine hundred ninety-two".