52142666100 has 144 divisors (see below), whose sum is σ = 172506542208. Its totient is φ = 11912232960.

The previous prime is 52142666087. The next prime is 52142666113. The reversal of 52142666100 is 166624125.

It is an interprime number because it is at equal distance from previous prime (52142666087) and next prime (52142666113).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5070564 + ... + 5080836.

Almost surely, 2^52142666100 is an apocalyptic number.

52142666100 is a gapful number since it is divisible by the number (50) 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 52142666100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86253271104).

52142666100 is an abundant number, since it is smaller than the sum of its proper divisors (120363876108).

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

52142666100 is a wasteful number, since it uses less digits than its factorization.

52142666100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12714 (or 12707 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The spelling of 52142666100 in words is "fifty-two billion, one hundred forty-two million, six hundred sixty-six thousand, one hundred".