515243106 has 192 divisors, whose sum is σ = 1434101760. Its totient is φ = 135302400.

The previous prime is 515243081. The next prime is 515243119. The reversal of 515243106 is 601342515.

515243106 is a `hidden beast` number, since 515 + 2 + 43 + 106 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 515243106.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3412131 + ... + 3412281.

It is an arithmetic number, because the mean of its divisors is an integer number (7469280).

Almost surely, 2^515243106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 515243106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (717050880).

515243106 is an abundant number, since it is smaller than the sum of its proper divisors (918858654).

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

515243106 is a wasteful number, since it uses less digits than its factorization.

515243106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 515243106 is about 22698.9670690100. The cubic root of 515243106 is about 801.6855638074.

The spelling of 515243106 in words is "five hundred fifteen million, two hundred forty-three thousand, one hundred six".