105461166 has 32 divisors (see below), whose sum is σ = 223816608. Its totient is φ = 33013760.

The previous prime is 105461123. The next prime is 105461171. The reversal of 105461166 is 661164501.

It is a super-2 number, since 2×105461166² = 22244115068159112, 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, 64576 + ... + 66188.

It is an arithmetic number, because the mean of its divisors is an integer number (6994269).

Almost surely, 2^105461166 is an apocalyptic number.

105461166 is an abundant number, since it is smaller than the sum of its proper divisors (118355442).

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

105461166 is a wasteful number, since it uses less digits than its factorization.

105461166 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2276.

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 105461166 is about 10269.4287085504. The cubic root of 105461166 is about 472.4590687088.

The spelling of 105461166 in words is "one hundred five million, four hundred sixty-one thousand, one hundred sixty-six".