100034319 has 16 divisors (see below), whose sum is σ = 166291200. Its totient is φ = 51965760.

The previous prime is 100034317. The next prime is 100034357. The reversal of 100034319 is 913430001.

It is not a de Polignac number, because 100034319 - 2¹ = 100034317 is a prime.

It is a super-2 number, since 2×100034319² = 20013729955587522, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 100034295 and 100034304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100034317) 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 15 ways as a sum of consecutive naturals, for example, 216294 + ... + 216755.

It is an arithmetic number, because the mean of its divisors is an integer number (10393200).

Almost surely, 2^100034319 is an apocalyptic number.

100034319 is a deficient number, since it is larger than the sum of its proper divisors (66256881).

100034319 is a wasteful number, since it uses less digits than its factorization.

100034319 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433070.

The product of its (nonzero) digits is 324, while the sum is 21.

The square root of 100034319 is about 10001.7158028010. The cubic root of 100034319 is about 464.2119755172.

The spelling of 100034319 in words is "one hundred million, thirty-four thousand, three hundred nineteen".