106682756250 has 384 divisors, whose sum is σ = 326004134400. Its totient is φ = 22717440000.

The previous prime is 106682756249. The next prime is 106682756273. The reversal of 106682756250 is 52657286601.

It is a happy number.

It is a super-2 number, since 2×106682756250² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106682756250.

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 191 ways as a sum of consecutive naturals, for example, 305681076 + ... + 305681424.

It is an arithmetic number, because the mean of its divisors is an integer number (848969100).

Almost surely, 2^106682756250 is an apocalyptic number.

106682756250 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 106682756250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163002067200).

106682756250 is an abundant number, since it is smaller than the sum of its proper divisors (219321378150).

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

106682756250 is a wasteful number, since it uses less digits than its factorization.

106682756250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 540 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 48.

The spelling of 106682756250 in words is "one hundred six billion, six hundred eighty-two million, seven hundred fifty-six thousand, two hundred fifty".