106765472 has 48 divisors (see below), whose sum is σ = 237232800. Its totient is φ = 46851840.

The previous prime is 106765459. The next prime is 106765511. The reversal of 106765472 is 274567601.

It is a super-2 number, since 2×106765472² = 22797732022765568, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4979 + ... + 15437.

It is an arithmetic number, because the mean of its divisors is an integer number (4942350).

Almost surely, 2^106765472 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 106765472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118616400).

106765472 is an abundant number, since it is smaller than the sum of its proper divisors (130467328).

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

106765472 is a wasteful number, since it uses less digits than its factorization.

106765472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10509 (or 10501 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 38.

The square root of 106765472 is about 10332.7378753165. The cubic root of 106765472 is about 474.3988287534.

The spelling of 106765472 in words is "one hundred six million, seven hundred sixty-five thousand, four hundred seventy-two".