5111106000 has 1280 divisors, whose sum is σ = 23710482432. Its totient is φ = 912384000.

The previous prime is 5111105999. The next prime is 5111106017. The reversal of 5111106000 is 6011115.

It is a super-2 number, since 2×5111106000² = 52246809086472000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 138137982 + ... + 138138018.

Almost surely, 2^5111106000 is an apocalyptic number.

5111106000 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 5111106000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11855241216).

5111106000 is an abundant number, since it is smaller than the sum of its proper divisors (18599376432).

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

5111106000 is a wasteful number, since it uses less digits than its factorization.

5111106000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 15.

The square root of 5111106000 is about 71491.9995523975. Note that the first 3 decimals coincide. The cubic root of 5111106000 is about 1722.5491766044.

Adding to 5111106000 its reverse (6011115), we get a palindrome (5117117115).

It can be divided in two parts, 5111 and 106000, that added together give a palindrome (111111).

The spelling of 5111106000 in words is "five billion, one hundred eleven million, one hundred six thousand".