214040100 has 36 divisors (see below), whose sum is σ = 619290224. Its totient is φ = 57077280.

The previous prime is 214040069. The next prime is 214040147. The reversal of 214040100 is 1040412.

214040100 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 356434 + ... + 357033.

Almost surely, 2^214040100 is an apocalyptic number.

214040100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214040100 is an abundant number, since it is smaller than the sum of its proper divisors (405250124).

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

214040100 is a wasteful number, since it uses less digits than its factorization.

214040100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 713484 (or 713477 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 214040100 is about 14630.1093639111. The cubic root of 214040100 is about 598.1797612468.

Adding to 214040100 its reverse (1040412), we get a palindrome (215080512).

The spelling of 214040100 in words is "two hundred fourteen million, forty thousand, one hundred".