52105680 has 400 divisors, whose sum is σ = 213897024. Its totient is φ = 11612160.

The previous prime is 52105661. The next prime is 52105727. The reversal of 52105680 is 8650125.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1211739 + ... + 1211781.

Almost surely, 2^52105680 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 52105680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106948512).

52105680 is an abundant number, since it is smaller than the sum of its proper divisors (161791344).

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

52105680 is a wasteful number, since it uses less digits than its factorization.

52105680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 52105680 is about 7218.4264213193. The cubic root of 52105680 is about 373.5037982872.

The spelling of 52105680 in words is "fifty-two million, one hundred five thousand, six hundred eighty".