106785671872 has 56 divisors (see below), whose sum is σ = 231478970112. Its totient is φ = 48473376000.

The previous prime is 106785671849. The next prime is 106785671893. The reversal of 106785671872 is 278176587601.

It is a super-2 number, since 2×106785671872² (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 7 ways as a sum of consecutive naturals, for example, 420997 + ... + 625147.

Almost surely, 2^106785671872 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 106785671872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115739485056).

106785671872 is an abundant number, since it is smaller than the sum of its proper divisors (124693298240).

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

106785671872 is a wasteful number, since it uses less digits than its factorization.

106785671872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204917 (or 204907 counting only the distinct ones).

The product of its (nonzero) digits is 7902720, while the sum is 58.

The spelling of 106785671872 in words is "one hundred six billion, seven hundred eighty-five million, six hundred seventy-one thousand, eight hundred seventy-two".