2140100 has 18 divisors (see below), whose sum is σ = 4644234. Its totient is φ = 856000.

The previous prime is 2140091. The next prime is 2140109. The reversal of 2140100 is 10412.

It is an interprime number because it is at equal distance from previous prime (2140091) and next prime (2140109).

It can be written as a sum of positive squares in 3 ways, for example, as 20164 + 2119936 = 142^2 + 1456^2 .

It is not an unprimeable number, because it can be changed into a prime (2140109) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 10601 + ... + 10800.

It is an arithmetic number, because the mean of its divisors is an integer number (258013).

2^2140100 is an apocalyptic number.

2140100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2140100 is an abundant number, since it is smaller than the sum of its proper divisors (2504134).

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

2140100 is a wasteful number, since it uses less digits than its factorization.

2140100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21415 (or 21408 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

The square root of 2140100 is about 1462.9080627298. The cubic root of 2140100 is about 128.8678814796.

Adding to 2140100 its reverse (10412), we get a palindrome (2150512).

The spelling of 2140100 in words is "two million, one hundred forty thousand, one hundred".