105416870 has 32 divisors (see below), whose sum is σ = 204906240. Its totient is φ = 38816640.

The previous prime is 105416837. The next prime is 105416897. The reversal of 105416870 is 78614501.

It is a happy number.

It is a super-2 number, since 2×105416870² = 22225432961193800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59051 + ... + 60809.

It is an arithmetic number, because the mean of its divisors is an integer number (6403320).

Almost surely, 2^105416870 is an apocalyptic number.

105416870 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105416870 is a deficient number, since it is larger than the sum of its proper divisors (99489370).

105416870 is a wasteful number, since it uses less digits than its factorization.

105416870 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2240.

The product of its (nonzero) digits is 6720, while the sum is 32.

The square root of 105416870 is about 10267.2717895262. The cubic root of 105416870 is about 472.3929117258.

The spelling of 105416870 in words is "one hundred five million, four hundred sixteen thousand, eight hundred seventy".