105772801 has 2 divisors, whose sum is σ = 105772802. Its totient is φ = 105772800.

The previous prime is 105772787. The next prime is 105772811. The reversal of 105772801 is 108277501.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 57456400 + 48316401 = 7580^2 + 6951^2 .

It is a cyclic number.

It is not a de Polignac number, because 105772801 - 2⁵ = 105772769 is a prime.

It is a super-2 number, since 2×105772801² = 22375770862771202, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105772811) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52886400 + 52886401.

It is an arithmetic number, because the mean of its divisors is an integer number (52886401).

Almost surely, 2^105772801 is an apocalyptic number.

It is an amenable number.

105772801 is a deficient number, since it is larger than the sum of its proper divisors (1).

105772801 is an equidigital number, since it uses as much as digits as its factorization.

105772801 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3920, while the sum is 31.

The square root of 105772801 is about 10284.5904634069. The cubic root of 105772801 is about 472.9239791590.

The spelling of 105772801 in words is "one hundred five million, seven hundred seventy-two thousand, eight hundred one".