100116253 has 2 divisors, whose sum is σ = 100116254. Its totient is φ = 100116252.

The previous prime is 100116239. The next prime is 100116287. The reversal of 100116253 is 352611001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 54715609 + 45400644 = 7397^2 + 6738^2 .

It is a cyclic number.

It is not a de Polignac number, because 100116253 - 2⁵ = 100116221 is a prime.

It is a super-2 number, since 2×100116253² = 20046528229520018, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 100116253.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100116223) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50058126 + 50058127.

It is an arithmetic number, because the mean of its divisors is an integer number (50058127).

Almost surely, 2^100116253 is an apocalyptic number.

It is an amenable number.

100116253 is a deficient number, since it is larger than the sum of its proper divisors (1).

100116253 is an equidigital number, since it uses as much as digits as its factorization.

100116253 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 180, while the sum is 19.

The square root of 100116253 is about 10005.8109616362. The cubic root of 100116253 is about 464.3386799152.

Adding to 100116253 its reverse (352611001), we get a palindrome (452727254).

The spelling of 100116253 in words is "one hundred million, one hundred sixteen thousand, two hundred fifty-three".