100041617 has 16 divisors (see below), whose sum is σ = 115148880. Its totient is φ = 86095872.

The previous prime is 100041589. The next prime is 100041649. The reversal of 100041617 is 716140001.

It can be written as a sum of positive squares in 8 ways, for example, as 7862416 + 92179201 = 2804^2 + 9601^2 .

It is a cyclic number.

It is not a de Polignac number, because 100041617 - 2⁶ = 100041553 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100041917) 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, 22013 + ... + 26165.

It is an arithmetic number, because the mean of its divisors is an integer number (7196805).

Almost surely, 2^100041617 is an apocalyptic number.

100041617 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

100041617 is a deficient number, since it is larger than the sum of its proper divisors (15107263).

100041617 is a wasteful number, since it uses less digits than its factorization.

100041617 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4292.

The product of its (nonzero) digits is 168, while the sum is 20.

The square root of 100041617 is about 10002.0806335482. The cubic root of 100041617 is about 464.2232640985.

Adding to 100041617 its reverse (716140001), we get a palindrome (816181618).

The spelling of 100041617 in words is "one hundred million, forty-one thousand, six hundred seventeen".