105270123930 has 32 divisors (see below), whose sum is σ = 263633007744. Its totient is φ = 26851509696.

The previous prime is 105270123913. The next prime is 105270123943. The reversal of 105270123930 is 39321072501.

It is a super-2 number, since 2×105270123930² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105270123891 and 105270123900.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 76282009 + ... + 76283388.

It is an arithmetic number, because the mean of its divisors is an integer number (8238531492).

Almost surely, 2^105270123930 is an apocalyptic number.

105270123930 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105270123930 is an abundant number, since it is smaller than the sum of its proper divisors (158362883814).

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

105270123930 is a wasteful number, since it uses less digits than its factorization.

105270123930 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152565430.

The product of its (nonzero) digits is 11340, while the sum is 33.

The spelling of 105270123930 in words is "one hundred five billion, two hundred seventy million, one hundred twenty-three thousand, nine hundred thirty".