100981587 has 16 divisors (see below), whose sum is σ = 157456640. Its totient is φ = 56361312.

The previous prime is 100981577. The next prime is 100981603. The reversal of 100981587 is 785189001.

It is not a de Polignac number, because 100981587 - 2⁷ = 100981459 is a prime.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100981577) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55012 + ... + 56817.

It is an arithmetic number, because the mean of its divisors is an integer number (9841040).

Almost surely, 2^100981587 is an apocalyptic number.

100981587 is a deficient number, since it is larger than the sum of its proper divisors (56475053).

100981587 is a wasteful number, since it uses less digits than its factorization.

100981587 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111882.

The product of its (nonzero) digits is 20160, while the sum is 39.

The square root of 100981587 is about 10048.9594983759. The cubic root of 100981587 is about 465.6726488901.

The spelling of 100981587 in words is "one hundred million, nine hundred eighty-one thousand, five hundred eighty-seven".