4051016100 has 216 divisors, whose sum is σ = 13039993512. Its totient is φ = 1051545600.

The previous prime is 4051016069. The next prime is 4051016107. The reversal of 4051016100 is 16101504.

4051016100 is a `hidden beast` number, since 4 + 0 + 51 + 0 + 1 + 610 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 3768977664 + 282038436 = 61392^2 + 16794^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (4051016107) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 6203374 + ... + 6204026.

Almost surely, 2^4051016100 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 4051016100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6519996756).

4051016100 is an abundant number, since it is smaller than the sum of its proper divisors (8988977412).

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

4051016100 is a wasteful number, since it uses less digits than its factorization.

4051016100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 847 (or 837 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 4051016100 is about 63647.5930416854. The cubic root of 4051016100 is about 1594.1211472411.

Adding to 4051016100 its reverse (16101504), we get a palindrome (4067117604).

The spelling of 4051016100 in words is "four billion, fifty-one million, sixteen thousand, one hundred".