105195942792 has 48 divisors (see below), whose sum is σ = 299900718000. Its totient is φ = 33219770976.

The previous prime is 105195942791. The next prime is 105195942847. The reversal of 105195942792 is 297249591501.

It is a happy number.

105195942792 is a `hidden beast` number, since 1 + 0 + 519 + 59 + 4 + 2 + 79 + 2 = 666.

It is a super-2 number, since 2×105195942792² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105195942791) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 38447442 + ... + 38450177.

It is an arithmetic number, because the mean of its divisors is an integer number (6247931625).

Almost surely, 2^105195942792 is an apocalyptic number.

105195942792 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105195942792 is an abundant number, since it is smaller than the sum of its proper divisors (194704775208).

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

105195942792 is a wasteful number, since it uses less digits than its factorization.

105195942792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76897650 (or 76897643 counting only the distinct ones).

The product of its (nonzero) digits is 2041200, while the sum is 54.

The spelling of 105195942792 in words is "one hundred five billion, one hundred ninety-five million, nine hundred forty-two thousand, seven hundred ninety-two".