4612542100 has 72 divisors (see below), whose sum is σ = 10374952280. Its totient is φ = 1778526720.

The previous prime is 4612542059. The next prime is 4612542113. The reversal of 4612542100 is 12452164.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 429815824 + 4182726276 = 20732^2 + 64674^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 397582 + ... + 409018.

Almost surely, 2^4612542100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4612542100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5187476140).

4612542100 is an abundant number, since it is smaller than the sum of its proper divisors (5762410180).

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

4612542100 is a wasteful number, since it uses less digits than its factorization.

4612542100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11597 (or 11590 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 4612542100 is about 67915.6984798066. The cubic root of 4612542100 is about 1664.6136351866.

Adding to 4612542100 its reverse (12452164), we get a palindrome (4624994264).

The spelling of 4612542100 in words is "four billion, six hundred twelve million, five hundred forty-two thousand, one hundred".