105705172770 has 32 divisors (see below), whose sum is σ = 253980437760. Its totient is φ = 28156043520.

The previous prime is 105705172747. The next prime is 105705172787. The reversal of 105705172770 is 77271507501.

It is a super-2 number, since 2×105705172770² (a number of 23 digits) contains 22 as substring.

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, 1973290 + ... + 2026149.

It is an arithmetic number, because the mean of its divisors is an integer number (7936888680).

Almost surely, 2^105705172770 is an apocalyptic number.

105705172770 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105705172770 is an abundant number, since it is smaller than the sum of its proper divisors (148275264990).

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

105705172770 is a wasteful number, since it uses less digits than its factorization.

105705172770 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4000330.

The product of its (nonzero) digits is 120050, while the sum is 42.

The spelling of 105705172770 in words is "one hundred five billion, seven hundred five million, one hundred seventy-two thousand, seven hundred seventy".