105401079 has 24 divisors (see below), whose sum is σ = 174275712. Its totient is φ = 60132240.

The previous prime is 105401069. The next prime is 105401083. The reversal of 105401079 is 970104501.

105401079 is a `hidden beast` number, since 10 + 540 + 107 + 9 = 666.

It is not a de Polignac number, because 105401079 - 2⁷ = 105400951 is a prime.

It is a super-2 number, since 2×105401079² = 22218774908728482, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105401069) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 60312 + ... + 62034.

It is an arithmetic number, because the mean of its divisors is an integer number (7261488).

Almost surely, 2^105401079 is an apocalyptic number.

105401079 is a deficient number, since it is larger than the sum of its proper divisors (68874633).

105401079 is a wasteful number, since it uses less digits than its factorization.

105401079 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2707 (or 2704 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The square root of 105401079 is about 10266.5027638432. The cubic root of 105401079 is about 472.3693230631.

The spelling of 105401079 in words is "one hundred five million, four hundred one thousand, seventy-nine".