106748306028 has 192 divisors, whose sum is σ = 345421117440. Its totient is φ = 27756691200.

The previous prime is 106748306011. The next prime is 106748306087. The reversal of 106748306028 is 820603847601.

106748306028 is a `hidden beast` number, since 1 + 0 + 6 + 7 + 4 + 8 + 30 + 602 + 8 = 666.

It is a super-2 number, since 2×106748306028² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 621298 + ... + 774278.

It is an arithmetic number, because the mean of its divisors is an integer number (1799068320).

Almost surely, 2^106748306028 is an apocalyptic number.

106748306028 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 106748306028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172710558720).

106748306028 is an abundant number, since it is smaller than the sum of its proper divisors (238672811412).

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

106748306028 is a wasteful number, since it uses less digits than its factorization.

106748306028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153085 (or 153077 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 106748306028 in words is "one hundred six billion, seven hundred forty-eight million, three hundred six thousand, twenty-eight".