2100137 has 8 divisors (see below), whose sum is σ = 2293704. Its totient is φ = 1911168.

The previous prime is 2100121. The next prime is 2100167. The reversal of 2100137 is 7310012.

It can be written as a sum of positive squares in 4 ways, for example, as 633616 + 1466521 = 796^2 + 1211^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2100137 - 2⁴ = 2100121 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2100167) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 158 + ... + 2055.

It is an arithmetic number, because the mean of its divisors is an integer number (286713).

2^2100137 is an apocalyptic number.

It is an amenable number.

2100137 is a deficient number, since it is larger than the sum of its proper divisors (193567).

2100137 is a wasteful number, since it uses less digits than its factorization.

2100137 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2299.

The product of its (nonzero) digits is 42, while the sum is 14.

The square root of 2100137 is about 1449.1849433388. The cubic root of 2100137 is about 128.0607011897.

Adding to 2100137 its reverse (7310012), we get a palindrome (9410149).

The spelling of 2100137 in words is "two million, one hundred thousand, one hundred thirty-seven".