100086753 has 8 divisors (see below), whose sum is σ = 143714368. Its totient is φ = 61591824.

The previous prime is 100086733. The next prime is 100086761. The reversal of 100086753 is 357680001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 100086753 - 2¹⁰ = 100085729 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 100086753.

It is not an unprimeable number, because it can be changed into a prime (100086703) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1283125 + ... + 1283202.

It is an arithmetic number, because the mean of its divisors is an integer number (17964296).

Almost surely, 2^100086753 is an apocalyptic number.

100086753 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

100086753 is a deficient number, since it is larger than the sum of its proper divisors (43627615).

100086753 is a wasteful number, since it uses less digits than its factorization.

100086753 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2566343.

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 100086753 is about 10004.3367096475. The cubic root of 100086753 is about 464.2930684842.

It can be divided in two parts, 10008 and 6753, that added together give a palindrome (16761).

The spelling of 100086753 in words is "one hundred million, eighty-six thousand, seven hundred fifty-three".