106748580816 has 120 divisors (see below), whose sum is σ = 301804120800. Its totient is φ = 35219420928.

The previous prime is 106748580803. The next prime is 106748580833. The reversal of 106748580816 is 618085847601.

It is a happy number.

106748580816 is a `hidden beast` number, since 1 + 0 + 6 + 7 + 48 + 580 + 8 + 16 = 666.

It is a super-2 number, since 2×106748580816² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23464110 + ... + 23468658.

It is an arithmetic number, because the mean of its divisors is an integer number (2515034340).

Almost surely, 2^106748580816 is an apocalyptic number.

106748580816 is a gapful number since it is divisible by the number (16) 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 106748580816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150902060400).

106748580816 is an abundant number, since it is smaller than the sum of its proper divisors (195055539984).

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

106748580816 is a wasteful number, since it uses less digits than its factorization.

106748580816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6193 (or 6184 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 54.

The spelling of 106748580816 in words is "one hundred six billion, seven hundred forty-eight million, five hundred eighty thousand, eight hundred sixteen".