106428772 has 12 divisors (see below), whose sum is σ = 197206380. Its totient is φ = 50084096.

The previous prime is 106428739. The next prime is 106428779. The reversal of 106428772 is 277824601.

It can be written as a sum of positive squares in 2 ways, for example, as 84750436 + 21678336 = 9206^2 + 4656^2 .

It is a super-2 number, since 2×106428772² = 22654167018855968, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106428779) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 782497 + ... + 782632.

It is an arithmetic number, because the mean of its divisors is an integer number (16433865).

Almost surely, 2^106428772 is an apocalyptic number.

It is an amenable number.

106428772 is a deficient number, since it is larger than the sum of its proper divisors (90777608).

106428772 is a wasteful number, since it uses less digits than its factorization.

106428772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1565150 (or 1565148 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 37.

The square root of 106428772 is about 10316.4321351909. The cubic root of 106428772 is about 473.8996090216.

The spelling of 106428772 in words is "one hundred six million, four hundred twenty-eight thousand, seven hundred seventy-two".