105581406 has 32 divisors (see below), whose sum is σ = 245887488. Its totient is φ = 29596320.

The previous prime is 105581369. The next prime is 105581419. The reversal of 105581406 is 604185501.

It is a super-2 number, since 2×105581406² = 22294866585873672, 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 15 ways as a sum of consecutive naturals, for example, 21490 + ... + 25941.

It is an arithmetic number, because the mean of its divisors is an integer number (7683984).

Almost surely, 2^105581406 is an apocalyptic number.

105581406 is an abundant number, since it is smaller than the sum of its proper divisors (140306082).

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

105581406 is a wasteful number, since it uses less digits than its factorization.

105581406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47496.

The product of its (nonzero) digits is 4800, while the sum is 30.

The square root of 105581406 is about 10275.2813100177. The cubic root of 105581406 is about 472.6385562695.

The spelling of 105581406 in words is "one hundred five million, five hundred eighty-one thousand, four hundred six".