106885840356 has 135 divisors (see below), whose sum is σ = 287050027033. Its totient is φ = 34681158720.

The previous prime is 106885840343. The next prime is 106885840361. The reversal of 106885840356 is 653048588601.

The square root of 106885840356 is 326934.

It is a perfect power (a square), and thus also a powerful number.

106885840356 is a `hidden beast` number, since 1 + 0 + 6 + 8 + 8 + 584 + 0 + 3 + 56 = 666.

It can be written as a sum of positive squares in only one way, i.e., 5150358756 + 101735481600 = 71766^2 + 318960^2 .

It is a super-2 number, since 2×106885840356² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 241277071 + ... + 241277513.

Almost surely, 2^106885840356 is an apocalyptic number.

106885840356 is the 326934-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106885840356

106885840356 is an abundant number, since it is smaller than the sum of its proper divisors (180164186677).

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

106885840356 is an frugal number, since it uses more digits than its factorization.

106885840356 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 984 (or 489 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 54.

The spelling of 106885840356 in words is "one hundred six billion, eight hundred eighty-five million, eight hundred forty thousand, three hundred fifty-six".