100831601 has 8 divisors (see below), whose sum is σ = 108983784. Its totient is φ = 92736000.

The previous prime is 100831547. The next prime is 100831639. The reversal of 100831601 is 106138001.

It can be written as a sum of positive squares in 4 ways, for example, as 1311025 + 99520576 = 1145^2 + 9976^2 .

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 100831601 - 2¹⁰ = 100830577 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100831681) 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, 10400 + ... + 17601.

It is an arithmetic number, because the mean of its divisors is an integer number (13622973).

Almost surely, 2^100831601 is an apocalyptic number.

It is an amenable number.

100831601 is a deficient number, since it is larger than the sum of its proper divisors (8152183).

100831601 is a wasteful number, since it uses less digits than its factorization.

100831601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28291.

The product of its (nonzero) digits is 144, while the sum is 20.

The square root of 100831601 is about 10041.4939625536. The cubic root of 100831601 is about 465.4419831220.

Adding to 100831601 its reverse (106138001), we get a palindrome (206969602).

The spelling of 100831601 in words is "one hundred million, eight hundred thirty-one thousand, six hundred one".