106381392768 has 960 divisors, whose sum is σ = 395082230400. Its totient is φ = 28248901632.

The previous prime is 106381392763. The next prime is 106381392809. The reversal of 106381392768 is 867293183601.

106381392768 is a `hidden beast` number, since 106 + 3 + 81 + 392 + 76 + 8 = 666.

It is a super-2 number, since 2×106381392768² (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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (106381392763) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 994218571 + ... + 994218677.

It is an arithmetic number, because the mean of its divisors is an integer number (411543990).

Almost surely, 2^106381392768 is an apocalyptic number.

106381392768 is a gapful number since it is divisible by the number (18) 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 106381392768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197541115200).

106381392768 is an abundant number, since it is smaller than the sum of its proper divisors (288700837632).

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

106381392768 is a wasteful number, since it uses less digits than its factorization.

106381392768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 106381392768 in words is "one hundred six billion, three hundred eighty-one million, three hundred ninety-two thousand, seven hundred sixty-eight".