100039023806401 has 9 divisors (see below), whose sum is σ = 102816236076771. Its totient is φ = 97334906335992.

The previous prime is 100039023806353. The next prime is 100039023806411. The reversal of 100039023806401 is 104608320930001.

The square root of 100039023806401 is 10001951.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 89516292303025 + 10522731503376 = 9461305^2 + 3243876^2 .

It is a de Polignac number, because none of the positive numbers 2^k-100039023806401 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100039023806411) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 369937026 + ... + 370207348.

Almost surely, 2^{100039023806401} is an apocalyptic number.

100039023806401 is the 10001951-st square number.

100039023806401 is the 5000976-th centered octagonal number.

It is an amenable number.

100039023806401 is a deficient number, since it is larger than the sum of its proper divisors (2777212270370).

100039023806401 is an frugal number, since it uses more digits than its factorization.

100039023806401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 540720 (or 270360 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 37.

The spelling of 100039023806401 in words is "one hundred trillion, thirty-nine billion, twenty-three million, eight hundred six thousand, four hundred one".