5101106000 has 80 divisors (see below), whose sum is σ = 12457091088. Its totient is φ = 2020160000.

The previous prime is 5101105967. The next prime is 5101106033. The reversal of 5101106000 is 6011015.

It is an interprime number because it is at equal distance from previous prime (5101105967) and next prime (5101106033).

It can be written as a sum of positive squares in 8 ways, for example, as 3717184 + 5097388816 = 1928^2 + 71396^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 189374 + ... + 214626.

Almost surely, 2^5101106000 is an apocalyptic number.

5101106000 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 5101106000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6228545544).

5101106000 is an abundant number, since it is smaller than the sum of its proper divisors (7355985088).

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

5101106000 is a wasteful number, since it uses less digits than its factorization.

5101106000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25377 (or 25361 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 14.

The square root of 5101106000 is about 71422.0274145169. The cubic root of 5101106000 is about 1721.4250403920.

Adding to 5101106000 its reverse (6011015), we get a palindrome (5107117015).

The spelling of 5101106000 in words is "five billion, one hundred one million, one hundred six thousand".