100288083 has 64 divisors (see below), whose sum is σ = 170311680. Its totient is φ = 51190272.

The previous prime is 100288043. The next prime is 100288103. The reversal of 100288083 is 380882001.

It is not a de Polignac number, because 100288083 - 2⁸ = 100287827 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100288083.

It is not an unprimeable number, because it can be changed into a prime (100288033) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 721428 + ... + 721566.

It is an arithmetic number, because the mean of its divisors is an integer number (2661120).

Almost surely, 2^100288083 is an apocalyptic number.

100288083 is a deficient number, since it is larger than the sum of its proper divisors (70023597).

100288083 is a wasteful number, since it uses less digits than its factorization.

100288083 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256.

The product of its (nonzero) digits is 3072, while the sum is 30.

The square root of 100288083 is about 10014.3937909391. The cubic root of 100288083 is about 464.6041769749.

The spelling of 100288083 in words is "one hundred million, two hundred eighty-eight thousand, eighty-three".