214190100 has 108 divisors (see below), whose sum is σ = 674331840. Its totient is φ = 56865600.

The previous prime is 214190087. The next prime is 214190111. The reversal of 214190100 is 1091412.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 297541 + ... + 298259.

Almost surely, 2^214190100 is an apocalyptic number.

214190100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214190100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337165920).

214190100 is an abundant number, since it is smaller than the sum of its proper divisors (460141740).

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

214190100 is a wasteful number, since it uses less digits than its factorization.

214190100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1070 (or 1060 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 214190100 is about 14635.2348802471. The cubic root of 214190100 is about 598.3194640595.

The spelling of 214190100 in words is "two hundred fourteen million, one hundred ninety thousand, one hundred".