2136100 has 36 divisors (see below), whose sum is σ = 4757508. Its totient is φ = 832000.

The previous prime is 2136091. The next prime is 2136107. The reversal of 2136100 is 16312.

It can be written as a sum of positive squares in 6 ways, for example, as 553536 + 1582564 = 744^2 + 1258^2 .

It is not an unprimeable number, because it can be changed into a prime (2136107) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3840 + ... + 4360.

It is an arithmetic number, because the mean of its divisors is an integer number (132153).

2^2136100 is an apocalyptic number.

2136100 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 2136100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2378754).

2136100 is an abundant number, since it is smaller than the sum of its proper divisors (2621408).

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

2136100 is a wasteful number, since it uses less digits than its factorization.

2136100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 576 (or 569 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 2136100 is about 1461.5402833997. The cubic root of 2136100 is about 128.7875436432.

The spelling of 2136100 in words is "two million, one hundred thirty-six thousand, one hundred".