106774752 has 96 divisors (see below), whose sum is σ = 331430400. Its totient is φ = 29449728.

The previous prime is 106774747. The next prime is 106774799. The reversal of 106774752 is 257477601.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×106774752² = 22801695329323008, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106774752.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16749 + ... + 22227.

It is an arithmetic number, because the mean of its divisors is an integer number (3452400).

Almost surely, 2^106774752 is an apocalyptic number.

106774752 is a gapful number since it is divisible by the number (12) 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 106774752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165715200).

106774752 is an abundant number, since it is smaller than the sum of its proper divisors (224655648).

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

106774752 is a wasteful number, since it uses less digits than its factorization.

106774752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5528 (or 5520 counting only the distinct ones).

The product of its (nonzero) digits is 82320, while the sum is 39.

The square root of 106774752 is about 10333.1869236940. The cubic root of 106774752 is about 474.4125731894.

The spelling of 106774752 in words is "one hundred six million, seven hundred seventy-four thousand, seven hundred fifty-two".