100264961 has 2 divisors, whose sum is σ = 100264962. Its totient is φ = 100264960.

The previous prime is 100264937. The next prime is 100264973. The reversal of 100264961 is 169462001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 77986561 + 22278400 = 8831^2 + 4720^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100264961 is a prime.

It is not a weakly prime, because it can be changed into another prime (100266961) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50132480 + 50132481.

It is an arithmetic number, because the mean of its divisors is an integer number (50132481).

Almost surely, 2^100264961 is an apocalyptic number.

It is an amenable number.

100264961 is a deficient number, since it is larger than the sum of its proper divisors (1).

100264961 is an equidigital number, since it uses as much as digits as its factorization.

100264961 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2592, while the sum is 29.

The square root of 100264961 is about 10013.2392860652. The cubic root of 100264961 is about 464.5684685000.

The spelling of 100264961 in words is "one hundred million, two hundred sixty-four thousand, nine hundred sixty-one".