106954752 has 88 divisors (see below), whose sum is σ = 301989816. Its totient is φ = 33554432.

The previous prime is 106954747. The next prime is 106954759. The reversal of 106954752 is 257459601.

It is a super-2 number, since 2×106954752² = 22878637950763008, which contains 22 as substring.

It is a nialpdrome in base 8 and base 16.

It is a zygodrome in base 2 and base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 106954752.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106954759) by changing a digit.

In principle, a polygon with 106954752 sides can be constructed with ruler and compass.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6291448 + ... + 6291464.

Almost surely, 2^106954752 is an apocalyptic number.

106954752 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 106954752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150994908).

106954752 is an abundant number, since it is smaller than the sum of its proper divisors (195035064).

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

106954752 is an frugal number, since it uses more digits than its factorization.

106954752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62 (or 22 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 39.

The square root of 106954752 is about 10341.8930568828. The cubic root of 106954752 is about 474.6790104661.

The spelling of 106954752 in words is "one hundred six million, nine hundred fifty-four thousand, seven hundred fifty-two".