106428576 has 144 divisors (see below), whose sum is σ = 306470304. Its totient is φ = 32306688.

The previous prime is 106428559. The next prime is 106428577. The reversal of 106428576 is 675824601.

It is a super-2 number, since 2×106428576² = 22654083578775552, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106428577) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1282231 + ... + 1282313.

It is an arithmetic number, because the mean of its divisors is an integer number (2128266).

Almost surely, 2^106428576 is an apocalyptic number.

106428576 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 106428576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153235152).

106428576 is an abundant number, since it is smaller than the sum of its proper divisors (200041728).

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

106428576 is a wasteful number, since it uses less digits than its factorization.

106428576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The square root of 106428576 is about 10316.4226357784. The cubic root of 106428576 is about 473.8993181091.

The spelling of 106428576 in words is "one hundred six million, four hundred twenty-eight thousand, five hundred seventy-six".