101085998 has 48 divisors (see below), whose sum is σ = 172737360. Its totient is φ = 44299008.

The previous prime is 101085979. The next prime is 101086021. The reversal of 101085998 is 899580101.

It is a hoax number, since the sum of its digits (41) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 737786 + ... + 737922.

It is an arithmetic number, because the mean of its divisors is an integer number (3598695).

Almost surely, 2^101085998 is an apocalyptic number.

101085998 is a deficient number, since it is larger than the sum of its proper divisors (71651362).

101085998 is a wasteful number, since it uses less digits than its factorization.

101085998 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 41.

The square root of 101085998 is about 10054.1532711611. The cubic root of 101085998 is about 465.8330893575.

The spelling of 101085998 in words is "one hundred one million, eighty-five thousand, nine hundred ninety-eight".