100006811325 has 96 divisors (see below), whose sum is σ = 187830894720. Its totient is φ = 52154150400.

The previous prime is 100006811321. The next prime is 100006811381. The reversal of 100006811325 is 523118600001.

It is not a de Polignac number, because 100006811325 - 2² = 100006811321 is a prime.

It is a super-2 number, since 2×100006811325² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100006811321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6187755 + ... + 6203895.

It is an arithmetic number, because the mean of its divisors is an integer number (1956571820).

Almost surely, 2^100006811325 is an apocalyptic number.

100006811325 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

100006811325 is a deficient number, since it is larger than the sum of its proper divisors (87824083395).

100006811325 is a wasteful number, since it uses less digits than its factorization.

100006811325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16364 (or 16353 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The spelling of 100006811325 in words is "one hundred billion, six million, eight hundred eleven thousand, three hundred twenty-five".