100344257 has 12 divisors (see below), whose sum is σ = 109095084. Its totient is φ = 92252160.

The previous prime is 100344253. The next prime is 100344287. The reversal of 100344257 is 752443001.

It can be written as a sum of positive squares in 6 ways, for example, as 39488656 + 60855601 = 6284^2 + 7801^2 .

It is not a de Polignac number, because 100344257 - 2² = 100344253 is a prime.

It is a Smith number, since the sum of its digits (26) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100344253) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 46433 + ... + 48545.

It is an arithmetic number, because the mean of its divisors is an integer number (9091257).

Almost surely, 2^100344257 is an apocalyptic number.

It is an amenable number.

100344257 is a deficient number, since it is larger than the sum of its proper divisors (8750827).

100344257 is a wasteful number, since it uses less digits than its factorization.

100344257 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2420 (or 2407 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 26.

The square root of 100344257 is about 10017.1980613343. The cubic root of 100344257 is about 464.6909064676.

Adding to 100344257 its reverse (752443001), we get a palindrome (852787258).

The spelling of 100344257 in words is "one hundred million, three hundred forty-four thousand, two hundred fifty-seven".