105105770 has 32 divisors (see below), whose sum is σ = 235875456. Its totient is φ = 32760000.

The previous prime is 105105769. The next prime is 105105809. The reversal of 105105770 is 77501501.

It is a super-2 number, since 2×105105770² = 22094445774585800, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67481 + ... + 69020.

It is an arithmetic number, because the mean of its divisors is an integer number (7371108).

Almost surely, 2^105105770 is an apocalyptic number.

105105770 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105105770 is an abundant number, since it is smaller than the sum of its proper divisors (130769686).

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

105105770 is a wasteful number, since it uses less digits than its factorization.

105105770 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136526.

The product of its (nonzero) digits is 1225, while the sum is 26.

The square root of 105105770 is about 10252.1105144258. The cubic root of 105105770 is about 471.9277545510.

The spelling of 105105770 in words is "one hundred five million, one hundred five thousand, seven hundred seventy".