106728876 has 72 divisors (see below), whose sum is σ = 277477200. Its totient is φ = 34577280.

The previous prime is 106728859. The next prime is 106728893. The reversal of 106728876 is 678827601.

It is an interprime number because it is at equal distance from previous prime (106728859) and next prime (106728893).

It is a super-2 number, since 2×106728876² = 22782105944446752, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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, 231286 + ... + 231746.

It is an arithmetic number, because the mean of its divisors is an integer number (3853850).

Almost surely, 2^106728876 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106728876, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138738600).

106728876 is an abundant number, since it is smaller than the sum of its proper divisors (170748324).

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

106728876 is a wasteful number, since it uses less digits than its factorization.

106728876 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 639 (or 634 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The square root of 106728876 is about 10330.9668472994. The cubic root of 106728876 is about 474.3446193316.

The spelling of 106728876 in words is "one hundred six million, seven hundred twenty-eight thousand, eight hundred seventy-six".