106765672 has 16 divisors (see below), whose sum is σ = 215584740. Its totient is φ = 49276416.

The previous prime is 106765667. The next prime is 106765679. The reversal of 106765672 is 276567601.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 105966436 + 799236 = 10294^2 + 894^2 .

It is a super-3 number, since 3×106765672³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (106765679) 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, 513193 + ... + 513400.

Almost surely, 2^106765672 is an apocalyptic number.

It is an amenable number.

106765672 is an abundant number, since it is smaller than the sum of its proper divisors (108819068).

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

106765672 is a wasteful number, since it uses less digits than its factorization.

106765672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1026612 (or 1026608 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 40.

The square root of 106765672 is about 10332.7475532890. The cubic root of 106765672 is about 474.3991249781.

The spelling of 106765672 in words is "one hundred six million, seven hundred sixty-five thousand, six hundred seventy-two".