506106000100 has 72 divisors (see below), whose sum is σ = 1206315915840. Its totient is φ = 183448932480.

The previous prime is 506106000083. The next prime is 506106000137. The reversal of 506106000100 is 1000601605.

It is a super-2 number, since 2×506106000100² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5746987 + ... + 5834386.

It is an arithmetic number, because the mean of its divisors is an integer number (16754387720).

Almost surely, 2^506106000100 is an apocalyptic number.

506106000100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

506106000100 is an abundant number, since it is smaller than the sum of its proper divisors (700209915740).

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

506106000100 is a wasteful number, since it uses less digits than its factorization.

506106000100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11581429 (or 11581422 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 19.

Adding to 506106000100 its reverse (1000601605), we get a palindrome (507106601705).

The spelling of 506106000100 in words is "five hundred six billion, one hundred six million, one hundred", and thus it is an aban number.