106642728 has 48 divisors (see below), whose sum is σ = 298147200. Its totient is φ = 34400160.

The previous prime is 106642703. The next prime is 106642771. The reversal of 106642728 is 827246601.

106642728 is a `hidden beast` number, since 1 + 0 + 6 + 642 + 7 + 2 + 8 = 666.

It is a super-2 number, since 2×106642728² = 22745342870563968, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 106642692 and 106642701.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21658 + ... + 26121.

It is an arithmetic number, because the mean of its divisors is an integer number (6211400).

Almost surely, 2^106642728 is an apocalyptic number.

106642728 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

106642728 is an abundant number, since it is smaller than the sum of its proper divisors (191504472).

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

106642728 is a wasteful number, since it uses less digits than its factorization.

106642728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47822 (or 47815 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 106642728 is about 10326.7965991395. The cubic root of 106642728 is about 474.2169599096.

The spelling of 106642728 in words is "one hundred six million, six hundred forty-two thousand, seven hundred twenty-eight".