105047970 has 32 divisors (see below), whose sum is σ = 253435392. Its totient is φ = 27866112.

The previous prime is 105047963. The next prime is 105047989. The reversal of 105047970 is 79740501.

It is a super-2 number, since 2×105047970² = 22070152002241800, 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, 3282 + ... + 14861.

It is an arithmetic number, because the mean of its divisors is an integer number (7919856).

Almost surely, 2^105047970 is an apocalyptic number.

105047970 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105047970 is an abundant number, since it is smaller than the sum of its proper divisors (148387422).

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

105047970 is a wasteful number, since it uses less digits than its factorization.

105047970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18346.

The product of its (nonzero) digits is 8820, while the sum is 33.

The square root of 105047970 is about 10249.2911950047. The cubic root of 105047970 is about 471.8412308334.

The spelling of 105047970 in words is "one hundred five million, forty-seven thousand, nine hundred seventy".