45726072101 has 2 divisors, whose sum is σ = 45726072102. Its totient is φ = 45726072100.

The previous prime is 45726072061. The next prime is 45726072113. The reversal of 45726072101 is 10127062754.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 37399692100 + 8326380001 = 193390^2 + 91249^2 .

It is a cyclic number.

It is not a de Polignac number, because 45726072101 - 2²⁶ = 45658963237 is a prime.

It is a super-3 number, since 3×45726072101³ (a number of 33 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (45726072151) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 22863036050 + 22863036051.

It is an arithmetic number, because the mean of its divisors is an integer number (22863036051).

Almost surely, 2^45726072101 is an apocalyptic number.

It is an amenable number.

45726072101 is a deficient number, since it is larger than the sum of its proper divisors (1).

45726072101 is an equidigital number, since it uses as much as digits as its factorization.

45726072101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 23520, while the sum is 35.

The spelling of 45726072101 in words is "forty-five billion, seven hundred twenty-six million, seventy-two thousand, one hundred one".