100457633 has 2 divisors, whose sum is σ = 100457634. Its totient is φ = 100457632.

The previous prime is 100457611. The next prime is 100457647. The reversal of 100457633 is 336754001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 98168464 + 2289169 = 9908^2 + 1513^2 .

It is an emirp because it is prime and its reverse (336754001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100457633 - 2⁶ = 100457569 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100457596 and 100457605.

It is not a weakly prime, because it can be changed into another prime (100457603) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50228816 + 50228817.

It is an arithmetic number, because the mean of its divisors is an integer number (50228817).

Almost surely, 2^100457633 is an apocalyptic number.

It is an amenable number.

100457633 is a deficient number, since it is larger than the sum of its proper divisors (1).

100457633 is an equidigital number, since it uses as much as digits as its factorization.

100457633 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 7560, while the sum is 29.

The square root of 100457633 is about 10022.8555312346. The cubic root of 100457633 is about 464.8658540860.

The spelling of 100457633 in words is "one hundred million, four hundred fifty-seven thousand, six hundred thirty-three".