106746480792 has 144 divisors (see below), whose sum is σ = 338874564600. Its totient is φ = 30266046720.

The previous prime is 106746480791. The next prime is 106746480803. The reversal of 106746480792 is 297084647601.

106746480792 is a `hidden beast` number, since 1 + 0 + 6 + 74 + 6 + 480 + 7 + 92 = 666.

It is a super-2 number, since 2×106746480792² (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 (106746480791) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 346684 + ... + 577652.

Almost surely, 2^106746480792 is an apocalyptic number.

106746480792 is a gapful number since it is divisible by the number (12) 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 106746480792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169437282300).

106746480792 is an abundant number, since it is smaller than the sum of its proper divisors (232128083808).

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

106746480792 is a wasteful number, since it uses less digits than its factorization.

106746480792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231126 (or 231112 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 106746480792 in words is "one hundred six billion, seven hundred forty-six million, four hundred eighty thousand, seven hundred ninety-two".