105507120 has 40 divisors (see below), whose sum is σ = 327072816. Its totient is φ = 28135168.

The previous prime is 105507113. The next prime is 105507121. The reversal of 105507120 is 21705501.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×105507120² = 22263504741388800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105507121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 219567 + ... + 220046.

Almost surely, 2^105507120 is an apocalyptic number.

105507120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105507120 is an abundant number, since it is smaller than the sum of its proper divisors (221565696).

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

105507120 is a wasteful number, since it uses less digits than its factorization.

105507120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 439629 (or 439623 counting only the distinct ones).

The product of its (nonzero) digits is 350, while the sum is 21.

The square root of 105507120 is about 10271.6658824165. The cubic root of 105507120 is about 472.5276823735.

The spelling of 105507120 in words is "one hundred five million, five hundred seven thousand, one hundred twenty".