105538752 has 84 divisors (see below), whose sum is σ = 330028296. Its totient is φ = 31979520.

The previous prime is 105538739. The next prime is 105538759. The reversal of 105538752 is 257835501.

It is a super-2 number, since 2×105538752² = 22276856347435008, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (105538759) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1993 + ... + 14664.

Almost surely, 2^105538752 is an apocalyptic number.

105538752 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 105538752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165014148).

105538752 is an abundant number, since it is smaller than the sum of its proper divisors (224489544).

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

105538752 is a wasteful number, since it uses less digits than its factorization.

105538752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16686 (or 16673 counting only the distinct ones).

The product of its (nonzero) digits is 42000, while the sum is 36.

The square root of 105538752 is about 10273.2055367349. The cubic root of 105538752 is about 472.5749003627.

The spelling of 105538752 in words is "one hundred five million, five hundred thirty-eight thousand, seven hundred fifty-two".