2006137100 has 72 divisors (see below), whose sum is σ = 4902352896. Its totient is φ = 705960000.

The previous prime is 2006137087. The next prime is 2006137103. The reversal of 2006137100 is 17316002.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (2006137103) 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, 4685 + ... + 63515.

Almost surely, 2^2006137100 is an apocalyptic number.

2006137100 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 2006137100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2451176448).

2006137100 is an abundant number, since it is smaller than the sum of its proper divisors (2896215796).

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

2006137100 is a wasteful number, since it uses less digits than its factorization.

2006137100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58887 (or 58880 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 20.

The square root of 2006137100 is about 44789.9218574893. The cubic root of 2006137100 is about 1261.2084442260.

The spelling of 2006137100 in words is "two billion, six million, one hundred thirty-seven thousand, one hundred".