100117627 has 2 divisors, whose sum is σ = 100117628. Its totient is φ = 100117626.

The previous prime is 100117621. The next prime is 100117639. The reversal of 100117627 is 726711001.

It is a weak prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100117627 is a prime.

It is a super-2 number, since 2×100117627² = 20047078472222258, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (100117621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50058813 + 50058814.

It is an arithmetic number, because the mean of its divisors is an integer number (50058814).

Almost surely, 2^100117627 is an apocalyptic number.

100117627 is a deficient number, since it is larger than the sum of its proper divisors (1).

100117627 is an equidigital number, since it uses as much as digits as its factorization.

100117627 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 588, while the sum is 25.

The square root of 100117627 is about 10005.8796215025. The cubic root of 100117627 is about 464.3408041072.

Adding to 100117627 its reverse (726711001), we get a palindrome (826828628).

The spelling of 100117627 in words is "one hundred million, one hundred seventeen thousand, six hundred twenty-seven".