7106056100 has 144 divisors (see below), whose sum is σ = 19182272256. Its totient is φ = 2244864000.

The previous prime is 7106056079. The next prime is 7106056121. The reversal of 7106056100 is 16506017.

It is an interprime number because it is at equal distance from previous prime (7106056079) and next prime (7106056121).

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 7106056100.

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 47 ways as a sum of consecutive naturals, for example, 228485 + ... + 257715.

It is an arithmetic number, because the mean of its divisors is an integer number (133210224).

Almost surely, 2^7106056100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7106056100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9591136128).

7106056100 is an abundant number, since it is smaller than the sum of its proper divisors (12076216156).

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

7106056100 is a wasteful number, since it uses less digits than its factorization.

7106056100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29286 (or 29279 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 26.

The square root of 7106056100 is about 84297.4264138592. The cubic root of 7106056100 is about 1922.5436573380.

The spelling of 7106056100 in words is "seven billion, one hundred six million, fifty-six thousand, one hundred".