105531600 has 60 divisors (see below), whose sum is σ = 338056736. Its totient is φ = 28141440.

The previous prime is 105531599. The next prime is 105531607. The reversal of 105531600 is 6135501.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×105531600² = 22273837197120000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105531607) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 42772 + ... + 45171.

Almost surely, 2^105531600 is an apocalyptic number.

105531600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105531600 is an abundant number, since it is smaller than the sum of its proper divisors (232525136).

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

105531600 is a wasteful number, since it uses less digits than its factorization.

105531600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87964 (or 87953 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 21.

The square root of 105531600 is about 10272.8574408487. The cubic root of 105531600 is about 472.5642251937.

The spelling of 105531600 in words is "one hundred five million, five hundred thirty-one thousand, six hundred".