100046025294601 has 27 divisors (see below), whose sum is σ = 101537142782439. Its totient is φ = 98576757293808.

The previous prime is 100046025294563. The next prime is 100046025294613. The reversal of 100046025294601 is 106492520640001.

The square root of 100046025294601 is 10002301.

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., 5600203925625 + 94445821368976 = 2366475^2 + 9718324^2 .

It is not a de Polignac number, because 100046025294601 - 2¹¹ = 100046025292553 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100046025294671) 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, 315602603295 + ... + 315602603611.

Almost surely, 2^{100046025294601} is an apocalyptic number.

100046025294601 is the 10002301-st square number.

100046025294601 is the 5001151-st centered octagonal number.

It is an amenable number.

100046025294601 is a deficient number, since it is larger than the sum of its proper divisors (1491117487838).

100046025294601 is an frugal number, since it uses more digits than its factorization.

100046025294601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1366 (or 683 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 40.

The spelling of 100046025294601 in words is "one hundred trillion, forty-six billion, twenty-five million, two hundred ninety-four thousand, six hundred one".