100825739987 has 12 divisors (see below), whose sum is σ = 118604922840. Its totient is φ = 85451024736.

The previous prime is 100825739941. The next prime is 100825740007. The reversal of 100825739987 is 789937528001.

It is not a de Polignac number, because 100825739987 - 2¹² = 100825735891 is a prime.

It is a super-2 number, since 2×100825739987² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100825759987) 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 11 ways as a sum of consecutive naturals, for example, 11555573 + ... + 11564294.

It is an arithmetic number, because the mean of its divisors is an integer number (9883743570).

Almost surely, 2^100825739987 is an apocalyptic number.

100825739987 is a deficient number, since it is larger than the sum of its proper divisors (17779182853).

100825739987 is an equidigital number, since it uses as much as digits as its factorization.

100825739987 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23119970 (or 23119963 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 59.

The spelling of 100825739987 in words is "one hundred billion, eight hundred twenty-five million, seven hundred thirty-nine thousand, nine hundred eighty-seven".