105914920 has 16 divisors (see below), whose sum is σ = 238308660. Its totient is φ = 42365952.

The previous prime is 105914917. The next prime is 105914929. The reversal of 105914920 is 29419501.

It can be written as a sum of positive squares in 2 ways, for example, as 104489284 + 1425636 = 10222^2 + 1194^2 .

It is a super-2 number, since 2×105914920² = 22435940557212800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105914929) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1323897 + ... + 1323976.

Almost surely, 2^105914920 is an apocalyptic number.

105914920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105914920 is an abundant number, since it is smaller than the sum of its proper divisors (132393740).

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

105914920 is a wasteful number, since it uses less digits than its factorization.

105914920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2647884 (or 2647880 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 31.

The square root of 105914920 is about 10291.4974614970. The cubic root of 105914920 is about 473.1356952223.

The spelling of 105914920 in words is "one hundred five million, nine hundred fourteen thousand, nine hundred twenty".