106381813992336 has 45 divisors (see below), whose sum is σ = 297721673043249. Its totient is φ = 35460563407488.

The previous prime is 106381813992313. The next prime is 106381813992367. The reversal of 106381813992336 is 633299318183601.

The square root of 106381813992336 is 10314156.

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

106381813992336 is a `hidden beast` number, since 1 + 0 + 6 + 3 + 8 + 1 + 8 + 1 + 399 + 233 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 88913961536400 + 17467852455936 = 9429420^2 + 4179456^2 .

It is a super-2 number, since 2×106381813992336² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 123340116 + ... + 124199628.

Almost surely, 2^{106381813992336} is an apocalyptic number.

106381813992336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

106381813992336 is the 10314156-th square number.

It is an amenable number.

106381813992336 is an abundant number, since it is smaller than the sum of its proper divisors (191339859050913).

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

106381813992336 is an frugal number, since it uses more digits than its factorization.

106381813992336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1719040 (or 859518 counting only the distinct ones).

The product of its (nonzero) digits is 30233088, while the sum is 63.

The spelling of 106381813992336 in words is "one hundred six trillion, three hundred eighty-one billion, eight hundred thirteen million, nine hundred ninety-two thousand, three hundred thirty-six".