105129640092 has 48 divisors (see below), whose sum is σ = 259794259200. Its totient is φ = 32973948672.

The previous prime is 105129640081. The next prime is 105129640097. The reversal of 105129640092 is 290046921501.

It is a super-2 number, since 2×105129640092² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105129640092.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105129640097) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 823159 + ... + 942257.

It is an arithmetic number, because the mean of its divisors is an integer number (5412380400).

Almost surely, 2^105129640092 is an apocalyptic number.

105129640092 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105129640092 is an abundant number, since it is smaller than the sum of its proper divisors (154664619108).

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

105129640092 is a wasteful number, since it uses less digits than its factorization.

105129640092 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123450 (or 123448 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 39.

The spelling of 105129640092 in words is "one hundred five billion, one hundred twenty-nine million, six hundred forty thousand, ninety-two".