105413670 has 32 divisors (see below), whose sum is σ = 281103840. Its totient is φ = 28110240.

The previous prime is 105413663. The next prime is 105413681. The reversal of 105413670 is 76314501.

It is a super-2 number, since 2×105413670² = 22224083645737800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

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, 194941 + ... + 195480.

It is an arithmetic number, because the mean of its divisors is an integer number (8784495).

Almost surely, 2^105413670 is an apocalyptic number.

105413670 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105413670 is an abundant number, since it is smaller than the sum of its proper divisors (175690170).

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

105413670 is a wasteful number, since it uses less digits than its factorization.

105413670 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390437 (or 390431 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 105413670 is about 10267.1159533727. The cubic root of 105413670 is about 472.3881317426.

The spelling of 105413670 in words is "one hundred five million, four hundred thirteen thousand, six hundred seventy".