105430688048 has 40 divisors (see below), whose sum is σ = 233678615040. Its totient is φ = 45141042240.

The previous prime is 105430688023. The next prime is 105430688089. The reversal of 105430688048 is 840886034501.

It is a super-2 number, since 2×105430688048² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105430687993 and 105430688011.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 336638 + ... + 569373.

It is an arithmetic number, because the mean of its divisors is an integer number (5841965376).

Almost surely, 2^105430688048 is an apocalyptic number.

It is an amenable number.

105430688048 is an abundant number, since it is smaller than the sum of its proper divisors (128247926992).

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

105430688048 is a wasteful number, since it uses less digits than its factorization.

105430688048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 907065 (or 907059 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 47.

The spelling of 105430688048 in words is "one hundred five billion, four hundred thirty million, six hundred eighty-eight thousand, forty-eight".