10254100017 has 16 divisors (see below), whose sum is σ = 15637165952. Its totient is φ = 5855034240.

The previous prime is 10254100013. The next prime is 10254100033. The reversal of 10254100017 is 71000145201.

It is a happy number.

It is not a de Polignac number, because 10254100017 - 2² = 10254100013 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10254099966 and 10254100002.

It is not an unprimeable number, because it can be changed into a prime (10254100013) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 157078 + ... + 212559.

It is an arithmetic number, because the mean of its divisors is an integer number (977322872).

Almost surely, 2^10254100017 is an apocalyptic number.

It is an amenable number.

10254100017 is a deficient number, since it is larger than the sum of its proper divisors (5383065935).

10254100017 is a wasteful number, since it uses less digits than its factorization.

10254100017 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370968.

The product of its (nonzero) digits is 280, while the sum is 21.

Adding to 10254100017 its reverse (71000145201), we get a palindrome (81254245218).

The spelling of 10254100017 in words is "ten billion, two hundred fifty-four million, one hundred thousand, seventeen".