105566640 has 40 divisors (see below), whose sum is σ = 327257328. Its totient is φ = 28151040.

The previous prime is 105566633. The next prime is 105566663. The reversal of 105566640 is 46665501.

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

It is a super-2 number, since 2×105566640² = 22288630961779200, which contains 22 as substring.

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, 219691 + ... + 220170.

Almost surely, 2^105566640 is an apocalyptic number.

105566640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105566640 is an abundant number, since it is smaller than the sum of its proper divisors (221690688).

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

105566640 is a wasteful number, since it uses less digits than its factorization.

105566640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 439877 (or 439871 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

The square root of 105566640 is about 10274.5627644197. The cubic root of 105566640 is about 472.6165217511.

The spelling of 105566640 in words is "one hundred five million, five hundred sixty-six thousand, six hundred forty".