105360977 has 2 divisors, whose sum is σ = 105360978. Its totient is φ = 105360976.

The previous prime is 105360949. The next prime is 105361007. The reversal of 105360977 is 779063501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 80120401 + 25240576 = 8951^2 + 5024^2 .

It is an emirp because it is prime and its reverse (779063501) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105360977 is a prime.

It is a super-2 number, since 2×105360977² = 22201870948789058, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105360977.

It is not a weakly prime, because it can be changed into another prime (105360077) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52680488 + 52680489.

It is an arithmetic number, because the mean of its divisors is an integer number (52680489).

Almost surely, 2^105360977 is an apocalyptic number.

It is an amenable number.

105360977 is a deficient number, since it is larger than the sum of its proper divisors (1).

105360977 is an equidigital number, since it uses as much as digits as its factorization.

105360977 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 39690, while the sum is 38.

The square root of 105360977 is about 10264.5495273782. The cubic root of 105360977 is about 472.3094079348.

The spelling of 105360977 in words is "one hundred five million, three hundred sixty thousand, nine hundred seventy-seven".