214054100 has 72 divisors (see below), whose sum is σ = 522049920. Its totient is φ = 75588480.

The previous prime is 214054097. The next prime is 214054103. The reversal of 214054100 is 1450412.

It is an interprime number because it is at equal distance from previous prime (214054097) and next prime (214054103).

It is a super-3 number, since 3×214054100³ (a number of 26 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214054103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26321 + ... + 33479.

Almost surely, 2^214054100 is an apocalyptic number.

214054100 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 214054100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261024960).

214054100 is an abundant number, since it is smaller than the sum of its proper divisors (307995820).

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

214054100 is a wasteful number, since it uses less digits than its factorization.

214054100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7209 (or 7202 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 17.

The square root of 214054100 is about 14630.5878214103. The cubic root of 214054100 is about 598.1928029371.

The spelling of 214054100 in words is "two hundred fourteen million, fifty-four thousand, one hundred".