100010257 has 2 divisors, whose sum is σ = 100010258. Its totient is φ = 100010256.

The previous prime is 100010237. The next prime is 100010263. The reversal of 100010257 is 752010001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 88341201 + 11669056 = 9399^2 + 3416^2 .

It is a cyclic number.

It is not a de Polignac number, because 100010257 - 2¹⁵ = 99977489 is a prime.

It is a super-3 number, since 3×100010257³ (a number of 25 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 100010257.

It is not a weakly prime, because it can be changed into another prime (100010227) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50005128 + 50005129.

It is an arithmetic number, because the mean of its divisors is an integer number (50005129).

Almost surely, 2^100010257 is an apocalyptic number.

It is an amenable number.

100010257 is a deficient number, since it is larger than the sum of its proper divisors (1).

100010257 is an equidigital number, since it uses as much as digits as its factorization.

100010257 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 70, while the sum is 16.

The square root of 100010257 is about 10000.5128368499. The cubic root of 100010257 is about 464.1747524109.

Adding to 100010257 its reverse (752010001), we get a palindrome (852020258).

The spelling of 100010257 in words is "one hundred million, ten thousand, two hundred fifty-seven".