105041919 has 32 divisors (see below), whose sum is σ = 149465088. Its totient is φ = 65520000.

The previous prime is 105041917. The next prime is 105041921. The reversal of 105041919 is 919140501.

It is an interprime number because it is at equal distance from previous prime (105041917) and next prime (105041921).

It is not a de Polignac number, because 105041919 - 2¹ = 105041917 is a prime.

It is a super-2 number, since 2×105041919² = 22067609494405122, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105041917) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 497724 + ... + 497934.

It is an arithmetic number, because the mean of its divisors is an integer number (4670784).

Almost surely, 2^105041919 is an apocalyptic number.

105041919 is a deficient number, since it is larger than the sum of its proper divisors (44423169).

105041919 is a wasteful number, since it uses less digits than its factorization.

105041919 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 399.

The product of its (nonzero) digits is 1620, while the sum is 30.

The square root of 105041919 is about 10248.9959996089. The cubic root of 105041919 is about 471.8321709531.

The spelling of 105041919 in words is "one hundred five million, forty-one thousand, nine hundred nineteen".