214076100 has 108 divisors (see below), whose sum is σ = 720568464. Its totient is φ = 48928320.

The previous prime is 214076099. The next prime is 214076113. The reversal of 214076100 is 1670412.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7419 + ... + 21981.

Almost surely, 2^214076100 is an apocalyptic number.

214076100 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 214076100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360284232).

214076100 is an abundant number, since it is smaller than the sum of its proper divisors (506492364).

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

214076100 is a wasteful number, since it uses less digits than its factorization.

214076100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14594 (or 14580 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 214076100 is about 14631.3396515835. The cubic root of 214076100 is about 598.2132958729.

The spelling of 214076100 in words is "two hundred fourteen million, seventy-six thousand, one hundred".