106103781282 has 48 divisors (see below), whose sum is σ = 219681183456. Its totient is φ = 34163438400.

The previous prime is 106103781257. The next prime is 106103781319. The reversal of 106103781282 is 282187301601.

106103781282 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×106103781282² (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 106103781282.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3137182 + ... + 3170822.

It is an arithmetic number, because the mean of its divisors is an integer number (4576691322).

Almost surely, 2^106103781282 is an apocalyptic number.

106103781282 is an abundant number, since it is smaller than the sum of its proper divisors (113577402174).

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

106103781282 is a wasteful number, since it uses less digits than its factorization.

106103781282 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34255 (or 34224 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 39.

The spelling of 106103781282 in words is "one hundred six billion, one hundred three million, seven hundred eighty-one thousand, two hundred eighty-two".