105608401 has 8 divisors (see below), whose sum is σ = 110088000. Its totient is φ = 101184720.

The previous prime is 105608381. The next prime is 105608431. The reversal of 105608401 is 104806501.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 105608401 - 2¹⁵ = 105575633 is a prime.

It is a super-2 number, since 2×105608401² = 22306268723553602, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105608431) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10101 + ... + 17698.

It is an arithmetic number, because the mean of its divisors is an integer number (13761000).

Almost surely, 2^105608401 is an apocalyptic number.

It is an amenable number.

105608401 is a deficient number, since it is larger than the sum of its proper divisors (4479599).

105608401 is a wasteful number, since it uses less digits than its factorization.

105608401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27959.

The product of its (nonzero) digits is 960, while the sum is 25.

The square root of 105608401 is about 10276.5948154046. The cubic root of 105608401 is about 472.6788341652.

The spelling of 105608401 in words is "one hundred five million, six hundred eight thousand, four hundred one".