506106700 has 108 divisors (see below), whose sum is σ = 1219550416. Its totient is φ = 182160000.

The previous prime is 506106659. The next prime is 506106701. The reversal of 506106700 is 7601605.

It is a super-3 number, since 3×506106700³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (506106701) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1826962 + ... + 1827238.

Almost surely, 2^506106700 is an apocalyptic number.

506106700 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 506106700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (609775208).

506106700 is an abundant number, since it is smaller than the sum of its proper divisors (713443716).

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

506106700 is a wasteful number, since it uses less digits than its factorization.

506106700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 464 (or 446 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 25.

The square root of 506106700 is about 22496.8153301751. The cubic root of 506106700 is about 796.9187202977.

The spelling of 506106700 in words is "five hundred six million, one hundred six thousand, seven hundred".