100406600035657 has 2 divisors, whose sum is σ = 100406600035658. Its totient is φ = 100406600035656.

The previous prime is 100406600035601. The next prime is 100406600035699. The reversal of 100406600035657 is 756530006604001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 66168935156041 + 34237664879616 = 8134429^2 + 5851296^2 .

It is a cyclic number.

It is not a de Polignac number, because 100406600035657 - 2¹⁵ = 100406600002889 is a prime.

It is not a weakly prime, because it can be changed into another prime (100406600035957) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50203300017828 + 50203300017829.

It is an arithmetic number, because the mean of its divisors is an integer number (50203300017829).

Almost surely, 2^{100406600035657} is an apocalyptic number.

It is an amenable number.

100406600035657 is a deficient number, since it is larger than the sum of its proper divisors (1).

100406600035657 is an equidigital number, since it uses as much as digits as its factorization.

100406600035657 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 453600, while the sum is 43.

Adding to 100406600035657 its reverse (756530006604001), we get a palindrome (856936606639658).

The spelling of 100406600035657 in words is "one hundred trillion, four hundred six billion, six hundred million, thirty-five thousand, six hundred fifty-seven".