101028617 has 8 divisors (see below), whose sum is σ = 102630600. Its totient is φ = 99437184.

The previous prime is 101028607. The next prime is 101028623. The reversal of 101028617 is 716820101.

It can be written as a sum of positive squares in 4 ways, for example, as 39891856 + 61136761 = 6316^2 + 7819^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 101028617 - 2⁴ = 101028601 is a prime.

It is a super-3 number, since 3×101028617³ (a number of 25 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101028607) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17903 + ... + 22859.

It is an arithmetic number, because the mean of its divisors is an integer number (12828825).

Almost surely, 2^101028617 is an apocalyptic number.

It is an amenable number.

101028617 is a deficient number, since it is larger than the sum of its proper divisors (1601983).

101028617 is an equidigital number, since it uses as much as digits as its factorization.

101028617 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5275.

The product of its (nonzero) digits is 672, while the sum is 26.

The square root of 101028617 is about 10051.2992692487. The cubic root of 101028617 is about 465.7449300069.

Adding to 101028617 its reverse (716820101), we get a palindrome (817848718).

The spelling of 101028617 in words is "one hundred one million, twenty-eight thousand, six hundred seventeen".