105411966 has 32 divisors (see below), whose sum is σ = 237413376. Its totient is φ = 30912000.

The previous prime is 105411959. The next prime is 105411973. The reversal of 105411966 is 669114501.

It is an interprime number because it is at equal distance from previous prime (105411959) and next prime (105411973).

It is a super-2 number, since 2×105411966² = 22223365151970312, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a nialpdrome in base 14.

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, 23715 + ... + 27806.

It is an arithmetic number, because the mean of its divisors is an integer number (7419168).

Almost surely, 2^105411966 is an apocalyptic number.

105411966 is an abundant number, since it is smaller than the sum of its proper divisors (132001410).

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

105411966 is a wasteful number, since it uses less digits than its factorization.

105411966 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51568.

The product of its (nonzero) digits is 6480, while the sum is 33.

The square root of 105411966 is about 10267.0329696558. The cubic root of 105411966 is about 472.3855863621.

The spelling of 105411966 in words is "one hundred five million, four hundred eleven thousand, nine hundred sixty-six".