100400371067 has 16 divisors (see below), whose sum is σ = 104102538240. Its totient is φ = 96785200512.

The previous prime is 100400371039. The next prime is 100400371129. The reversal of 100400371067 is 760173004001.

It is a cyclic number.

It is not a de Polignac number, because 100400371067 - 2¹⁸ = 100400108923 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100400370067) 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, 514178 + ... + 682040.

It is an arithmetic number, because the mean of its divisors is an integer number (6506408640).

Almost surely, 2^100400371067 is an apocalyptic number.

100400371067 is a deficient number, since it is larger than the sum of its proper divisors (3702167173).

100400371067 is a wasteful number, since it uses less digits than its factorization.

100400371067 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168122.

The product of its (nonzero) digits is 3528, while the sum is 29.

Adding to 100400371067 its reverse (760173004001), we get a palindrome (860573375068).

The spelling of 100400371067 in words is "one hundred billion, four hundred million, three hundred seventy-one thousand, sixty-seven".