100631617 has 2 divisors, whose sum is σ = 100631618. Its totient is φ = 100631616.

The previous prime is 100631603. The next prime is 100631621. The reversal of 100631617 is 716136001.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 83192641 + 17438976 = 9121^2 + 4176^2 .

It is a cyclic number.

It is not a de Polignac number, because 100631617 - 2¹¹ = 100629569 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100631591 and 100631600.

It is not a weakly prime, because it can be changed into another prime (100631627) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50315808 + 50315809.

It is an arithmetic number, because the mean of its divisors is an integer number (50315809).

Almost surely, 2^100631617 is an apocalyptic number.

It is an amenable number.

100631617 is a deficient number, since it is larger than the sum of its proper divisors (1).

100631617 is an equidigital number, since it uses as much as digits as its factorization.

100631617 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 756, while the sum is 25.

The square root of 100631617 is about 10031.5311393625. The cubic root of 100631617 is about 465.1340685603.

Adding to 100631617 its reverse (716136001), we get a palindrome (816767618).

It can be divided in two parts, 1006 and 31617, that added together give a palindrome (32623).

The spelling of 100631617 in words is "one hundred million, six hundred thirty-one thousand, six hundred seventeen".