105479970 has 32 divisors (see below), whose sum is σ = 259996608. Its totient is φ = 27367488.

The previous prime is 105479953. The next prime is 105479971. The reversal of 105479970 is 79974501.

It is a happy number.

It is a super-2 number, since 2×105479970² = 22252048142401800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105479971) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46404 + ... + 48623.

It is an arithmetic number, because the mean of its divisors is an integer number (8124894).

Almost surely, 2^105479970 is an apocalyptic number.

105479970 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105479970 is an abundant number, since it is smaller than the sum of its proper divisors (154516638).

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

105479970 is a wasteful number, since it uses less digits than its factorization.

105479970 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95074.

The product of its (nonzero) digits is 79380, while the sum is 42.

The square root of 105479970 is about 10270.3442006585. The cubic root of 105479970 is about 472.4871472666.

The spelling of 105479970 in words is "one hundred five million, four hundred seventy-nine thousand, nine hundred seventy".