100401629 has 2 divisors, whose sum is σ = 100401630. Its totient is φ = 100401628.

The previous prime is 100401617. The next prime is 100401649. The reversal of 100401629 is 926104001.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 99460729 + 940900 = 9973^2 + 970^2 .

It is an emirp because it is prime and its reverse (926104001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100401629 - 2²⁴ = 83624413 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100401649) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50200814 + 50200815.

It is an arithmetic number, because the mean of its divisors is an integer number (50200815).

Almost surely, 2^100401629 is an apocalyptic number.

It is an amenable number.

100401629 is a deficient number, since it is larger than the sum of its proper divisors (1).

100401629 is an equidigital number, since it uses as much as digits as its factorization.

100401629 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 432, while the sum is 23.

The square root of 100401629 is about 10020.0613271576. The cubic root of 100401629 is about 464.7794522004.

The spelling of 100401629 in words is "one hundred million, four hundred one thousand, six hundred twenty-nine".