105556040 has 16 divisors (see below), whose sum is σ = 237501180. Its totient is φ = 42222400.

The previous prime is 105556037. The next prime is 105556049. The reversal of 105556040 is 40655501.

It can be written as a sum of positive squares in 2 ways, for example, as 105226564 + 329476 = 10258^2 + 574^2 .

It is a super-2 number, since 2×105556040² = 22284155160963200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105556049) 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, 1319411 + ... + 1319490.

Almost surely, 2^105556040 is an apocalyptic number.

105556040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105556040 is an abundant number, since it is smaller than the sum of its proper divisors (131945140).

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

105556040 is a wasteful number, since it uses less digits than its factorization.

105556040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2638912 (or 2638908 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 26.

The square root of 105556040 is about 10274.0469144344. The cubic root of 105556040 is about 472.6007026665.

The spelling of 105556040 in words is "one hundred five million, five hundred fifty-six thousand, forty".