105624773 has 2 divisors, whose sum is σ = 105624774. Its totient is φ = 105624772.

The previous prime is 105624767. The next prime is 105624787. The reversal of 105624773 is 377426501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 95902849 + 9721924 = 9793^2 + 3118^2 .

It is a cyclic number.

It is not a de Polignac number, because 105624773 - 2²⁶ = 38515909 is a prime.

It is a super-2 number, since 2×105624773² = 22313185342603058, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105624703) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52812386 + 52812387.

It is an arithmetic number, because the mean of its divisors is an integer number (52812387).

Almost surely, 2^105624773 is an apocalyptic number.

It is an amenable number.

105624773 is a deficient number, since it is larger than the sum of its proper divisors (1).

105624773 is an equidigital number, since it uses as much as digits as its factorization.

105624773 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 35280, while the sum is 35.

The square root of 105624773 is about 10277.3913518947. The cubic root of 105624773 is about 472.7032586678.

The spelling of 105624773 in words is "one hundred five million, six hundred twenty-four thousand, seven hundred seventy-three".