100652039437401 has 27 divisors (see below), whose sum is σ = 145868827743327. Its totient is φ = 66879379445760.

The previous prime is 100652039437373. The next prime is 100652039437403. The reversal of 100652039437401 is 104734930256001.

The square root of 100652039437401 is 10032549.

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

100652039437401 is a `hidden beast` number, since 1 + 0 + 0 + 6 + 5 + 203 + 9 + 4 + 37 + 401 = 666.

It can be written as a sum of positive squares in only one way, i.e., 95332669184025 + 5319370253376 = 9763845^2 + 2306376^2 .

It is not a de Polignac number, because 100652039437401 - 2²⁵ = 100652005882969 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100652039437403) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 9360362841 + ... + 9360373593.

Almost surely, 2^{100652039437401} is an apocalyptic number.

100652039437401 is the 10032549-th square number.

100652039437401 is the 5016275-th centered octagonal number.

It is an amenable number.

100652039437401 is a deficient number, since it is larger than the sum of its proper divisors (45216788305926).

100652039437401 is an frugal number, since it uses more digits than its factorization.

100652039437401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22134 (or 11067 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 100652039437401 in words is "one hundred trillion, six hundred fifty-two billion, thirty-nine million, four hundred thirty-seven thousand, four hundred one".