106782811296 has 192 divisors, whose sum is σ = 333070295040. Its totient is φ = 29311994880.

The previous prime is 106782811273. The next prime is 106782811307. The reversal of 106782811296 is 692118287601.

It is a super-2 number, since 2×106782811296² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2877210 + ... + 2914086.

It is an arithmetic number, because the mean of its divisors is an integer number (1734741120).

Almost surely, 2^106782811296 is an apocalyptic number.

106782811296 is a gapful number since it is divisible by the number (16) 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 106782811296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166535147520).

106782811296 is an abundant number, since it is smaller than the sum of its proper divisors (226287483744).

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

106782811296 is a wasteful number, since it uses less digits than its factorization.

106782811296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37067 (or 37059 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 51.

The spelling of 106782811296 in words is "one hundred six billion, seven hundred eighty-two million, eight hundred eleven thousand, two hundred ninety-six".