105772401 has 48 divisors (see below), whose sum is σ = 179470720. Its totient is φ = 58786560.

The previous prime is 105772399. The next prime is 105772409. The reversal of 105772401 is 104277501.

It is not a de Polignac number, because 105772401 - 2¹ = 105772399 is a prime.

It is a super-2 number, since 2×105772401² = 22375601626609602, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105772409) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 501186 + ... + 501396.

Almost surely, 2^105772401 is an apocalyptic number.

It is an amenable number.

105772401 is a deficient number, since it is larger than the sum of its proper divisors (73698319).

105772401 is a wasteful number, since it uses less digits than its factorization.

105772401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 406 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 27.

The square root of 105772401 is about 10284.5710168193. The cubic root of 105772401 is about 472.9233830075.

The spelling of 105772401 in words is "one hundred five million, seven hundred seventy-two thousand, four hundred one".