105552540 has 36 divisors (see below), whose sum is σ = 320176584. Its totient is φ = 28147296.

The previous prime is 105552533. The next prime is 105552563. The reversal of 105552540 is 45255501.

105552540 is a `hidden beast` number, since 105 + 552 + 5 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×105552540² = 22282677400903200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 293022 + ... + 293381.

It is an arithmetic number, because the mean of its divisors is an integer number (8893794).

Almost surely, 2^105552540 is an apocalyptic number.

105552540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105552540 is an abundant number, since it is smaller than the sum of its proper divisors (214624044).

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

105552540 is a wasteful number, since it uses less digits than its factorization.

105552540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 586418 (or 586413 counting only the distinct ones).

The product of its (nonzero) digits is 5000, while the sum is 27.

The square root of 105552540 is about 10273.8765809211. The cubic root of 105552540 is about 472.5954791513.

The spelling of 105552540 in words is "one hundred five million, five hundred fifty-two thousand, five hundred forty".