106490752 has 48 divisors (see below), whose sum is σ = 216709200. Its totient is φ = 52123904.

The previous prime is 106490731. The next prime is 106490779. The reversal of 106490752 is 257094601.

It is a super-2 number, since 2×106490752² = 22680560523051008, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 445449 + ... + 445687.

It is an arithmetic number, because the mean of its divisors is an integer number (4514775).

Almost surely, 2^106490752 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 106490752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108354600).

106490752 is an abundant number, since it is smaller than the sum of its proper divisors (110218448).

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

106490752 is an frugal number, since it uses more digits than its factorization.

106490752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 371 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 34.

The square root of 106490752 is about 10319.4356434836. The cubic root of 106490752 is about 473.9915847699.

The spelling of 106490752 in words is "one hundred six million, four hundred ninety thousand, seven hundred fifty-two".