106362813888 has 168 divisors, whose sum is σ = 308206698800. Its totient is φ = 35067396096.

The previous prime is 106362813883. The next prime is 106362813889. The reversal of 106362813888 is 888318263601.

106362813888 is a `hidden beast` number, since 1 + 0 + 6 + 3 + 628 + 1 + 3 + 8 + 8 + 8 = 666.

It is a super-2 number, since 2×106362813888² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106362813883) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48279795 + ... + 48281997.

Almost surely, 2^106362813888 is an apocalyptic number.

106362813888 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 106362813888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154103349400).

106362813888 is an abundant number, since it is smaller than the sum of its proper divisors (201843884912).

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

106362813888 is a wasteful number, since it uses less digits than its factorization.

106362813888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3099 (or 3086 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The spelling of 106362813888 in words is "one hundred six billion, three hundred sixty-two million, eight hundred thirteen thousand, eight hundred eighty-eight".