105039180940 has 24 divisors (see below), whose sum is σ = 220705792272. Its totient is φ = 41992146240.

The previous prime is 105039180901. The next prime is 105039180941. The reversal of 105039180940 is 49081930501.

It is a super-2 number, since 2×105039180940² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105039180893 and 105039180902.

It is not an unprimeable number, because it can be changed into a prime (105039180941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1433751 + ... + 1505230.

It is an arithmetic number, because the mean of its divisors is an integer number (9196074678).

Almost surely, 2^105039180940 is an apocalyptic number.

105039180940 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105039180940 is an abundant number, since it is smaller than the sum of its proper divisors (115666611332).

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

105039180940 is a wasteful number, since it uses less digits than its factorization.

105039180940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2940777 (or 2940775 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 40.

The spelling of 105039180940 in words is "one hundred five billion, thirty-nine million, one hundred eighty thousand, nine hundred forty".