106790348808 has 768 divisors, whose sum is σ = 380414361600. Its totient is φ = 27565608960.

The previous prime is 106790348759. The next prime is 106790348813. The reversal of 106790348808 is 808843097601.

106790348808 is a `hidden beast` number, since 10 + 67 + 90 + 3 + 488 + 0 + 8 = 666.

It is a super-2 number, since 2×106790348808² (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 an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 278825785 + ... + 278826167.

It is an arithmetic number, because the mean of its divisors is an integer number (495331200).

Almost surely, 2^106790348808 is an apocalyptic number.

106790348808 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 106790348808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190207180800).

106790348808 is an abundant number, since it is smaller than the sum of its proper divisors (273624012792).

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

106790348808 is a wasteful number, since it uses less digits than its factorization.

106790348808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 504 (or 488 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 106790348808 in words is "one hundred six billion, seven hundred ninety million, three hundred forty-eight thousand, eight hundred eight".