106928840772 has 96 divisors (see below), whose sum is σ = 299136297600. Its totient is φ = 32836323456.

The previous prime is 106928840633. The next prime is 106928840789. The reversal of 106928840772 is 277048829601.

It is a happy number.

106928840772 is a `hidden beast` number, since 1 + 0 + 6 + 92 + 88 + 407 + 72 = 666.

It is a super-2 number, since 2×106928840772² (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 31 ways as a sum of consecutive naturals, for example, 639823 + ... + 789449.

It is an arithmetic number, because the mean of its divisors is an integer number (3116003100).

Almost surely, 2^106928840772 is an apocalyptic number.

106928840772 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 106928840772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149568148800).

106928840772 is an abundant number, since it is smaller than the sum of its proper divisors (192207456828).

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

106928840772 is a wasteful number, since it uses less digits than its factorization.

106928840772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150162 (or 150154 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The spelling of 106928840772 in words is "one hundred six billion, nine hundred twenty-eight million, eight hundred forty thousand, seven hundred seventy-two".