5945952100 has 81 divisors (see below), whose sum is σ = 14202584683. Its totient is φ = 2159080000.

The previous prime is 5945952037. The next prime is 5945952101. The reversal of 5945952100 is 12595495.

The square root of 5945952100 is 77110.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 403447396 + 5542504704 = 20086^2 + 74448^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (5945952101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 8481750 + ... + 8482450.

Almost surely, 2^5945952100 is an apocalyptic number.

5945952100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

5945952100 is the 77110-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5945952100

5945952100 is an abundant number, since it is smaller than the sum of its proper divisors (8256632583).

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

5945952100 is a wasteful number, since it uses less digits than its factorization.

5945952100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1438 (or 719 counting only the distinct ones).

The product of its (nonzero) digits is 81000, while the sum is 40.

The cubic root of 5945952100 is about 1811.6479298984.

It can be divided in two parts, 594595 and 2100, that added together give a palindrome (596695).

The spelling of 5945952100 in words is "five billion, nine hundred forty-five million, nine hundred fifty-two thousand, one hundred".