7106190000 has 800 divisors, whose sum is σ = 29936417280. Its totient is φ = 1410048000.

The previous prime is 7106189989. The next prime is 7106190053. The reversal of 7106190000 is 916017.

It is a super-2 number, since 2×7106190000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 51869932 + ... + 51870068.

Almost surely, 2^7106190000 is an apocalyptic number.

7106190000 is a gapful number since it is divisible by the number (70) 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 7106190000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14968208640).

7106190000 is an abundant number, since it is smaller than the sum of its proper divisors (22830227280).

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

7106190000 is a wasteful number, since it uses less digits than its factorization.

7106190000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 378, while the sum is 24.

The square root of 7106190000 is about 84298.2206217901. The cubic root of 7106190000 is about 1922.5557328116. Note that the first 3 decimals are identical.

The spelling of 7106190000 in words is "seven billion, one hundred six million, one hundred ninety thousand".