100085751 has 12 divisors (see below), whose sum is σ = 146193840. Its totient is φ = 65973600.

The previous prime is 100085743. The next prime is 100085753. The reversal of 100085751 is 157580001.

It is not a de Polignac number, because 100085751 - 2³ = 100085743 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100085753) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 61675 + ... + 63276.

It is an arithmetic number, because the mean of its divisors is an integer number (12182820).

Almost surely, 2^100085751 is an apocalyptic number.

100085751 is a deficient number, since it is larger than the sum of its proper divisors (46108089).

100085751 is a wasteful number, since it uses less digits than its factorization.

100085751 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125046 (or 125043 counting only the distinct ones).

The product of its (nonzero) digits is 1400, while the sum is 27.

The square root of 100085751 is about 10004.2866312396. The cubic root of 100085751 is about 464.2915190844.

The spelling of 100085751 in words is "one hundred million, eighty-five thousand, seven hundred fifty-one".