100787835841 has 135 divisors (see below), whose sum is σ = 140941527489. Its totient is φ = 72002422800.

The previous prime is 100787835839. The next prime is 100787835881. The reversal of 100787835841 is 148538787001.

The square root of 100787835841 is 317471.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 100787835841 - 2¹ = 100787835839 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100787835881) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 3251220496 + ... + 3251220526.

Almost surely, 2^100787835841 is an apocalyptic number.

100787835841 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100787835841 is the 317471-st square number.

100787835841 is the 158736-th centered octagonal number.

It is an amenable number.

100787835841 is a deficient number, since it is larger than the sum of its proper divisors (40153691648).

100787835841 is an frugal number, since it uses more digits than its factorization.

100787835841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 1505280, while the sum is 52.

The spelling of 100787835841 in words is "one hundred billion, seven hundred eighty-seven million, eight hundred thirty-five thousand, eight hundred forty-one".