105431520 has 48 divisors (see below), whose sum is σ = 332110800. Its totient is φ = 28114944.

The previous prime is 105431509. The next prime is 105431533. The reversal of 105431520 is 25134501.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×105431520² = 22231610819020800, 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 7 ways as a sum of consecutive naturals, for example, 109345 + ... + 110304.

It is an arithmetic number, because the mean of its divisors is an integer number (6918975).

Almost surely, 2^105431520 is an apocalyptic number.

105431520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105431520 is an abundant number, since it is smaller than the sum of its proper divisors (226679280).

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

105431520 is a wasteful number, since it uses less digits than its factorization.

105431520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219667 (or 219659 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 105431520 is about 10267.9851967170. The cubic root of 105431520 is about 472.4147938515.

The spelling of 105431520 in words is "one hundred five million, four hundred thirty-one thousand, five hundred twenty".