105041964 has 48 divisors (see below), whose sum is σ = 252806400. Its totient is φ = 33921216.

The previous prime is 105041953. The next prime is 105041969. The reversal of 105041964 is 469140501.

It is a happy number.

It is a super-2 number, since 2×105041964² = 22067628401954592, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105041969) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 159067 + ... + 159725.

It is an arithmetic number, because the mean of its divisors is an integer number (5266800).

Almost surely, 2^105041964 is an apocalyptic number.

It is an amenable number.

105041964 is an abundant number, since it is smaller than the sum of its proper divisors (147764436).

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

105041964 is a wasteful number, since it uses less digits than its factorization.

105041964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1062 (or 1060 counting only the distinct ones).

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

The square root of 105041964 is about 10248.9981949457. The cubic root of 105041964 is about 471.8322383308.

The spelling of 105041964 in words is "one hundred five million, forty-one thousand, nine hundred sixty-four".