2532106100 has 72 divisors (see below), whose sum is σ = 5674303488. Its totient is φ = 980035200.

The previous prime is 2532106067. The next prime is 2532106141. The reversal of 2532106100 is 16012352.

It is a super-2 number, since 2×2532106100² = 12823122603314420000, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 704909 + ... + 708491.

Almost surely, 2^2532106100 is an apocalyptic number.

2532106100 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 2532106100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2837151744).

2532106100 is an abundant number, since it is smaller than the sum of its proper divisors (3142197388).

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

2532106100 is a wasteful number, since it uses less digits than its factorization.

2532106100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3825 (or 3818 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 2532106100 is about 50320.0367646925. The cubic root of 2532106100 is about 1362.9940704605.

Adding to 2532106100 its reverse (16012352), we get a palindrome (2548118452).

The spelling of 2532106100 in words is "two billion, five hundred thirty-two million, one hundred six thousand, one hundred".