214007100 has 36 divisors (see below), whose sum is σ = 619194744. Its totient is φ = 57068480.

The previous prime is 214007083. The next prime is 214007137. The reversal of 214007100 is 1700412.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 214007100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 356379 + ... + 356978.

It is an arithmetic number, because the mean of its divisors is an integer number (17199854).

Almost surely, 2^214007100 is an apocalyptic number.

214007100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214007100 is an abundant number, since it is smaller than the sum of its proper divisors (405187644).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

214007100 is a wasteful number, since it uses less digits than its factorization.

214007100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 713374 (or 713367 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 15.

The square root of 214007100 is about 14628.9815093191. The cubic root of 214007100 is about 598.1490178694.

Adding to 214007100 its reverse (1700412), we get a palindrome (215707512).

The spelling of 214007100 in words is "two hundred fourteen million, seven thousand, one hundred".