105752520 has 64 divisors (see below), whose sum is σ = 352512000. Its totient is φ = 28200384.

The previous prime is 105752503. The next prime is 105752527. The reversal of 105752520 is 25257501.

It is a happy number.

It is a super-2 number, since 2×105752520² = 22367190972700800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (105752527) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47880 + ... + 50039.

It is an arithmetic number, because the mean of its divisors is an integer number (5508000).

Almost surely, 2^105752520 is an apocalyptic number.

105752520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105752520 is an abundant number, since it is smaller than the sum of its proper divisors (246759480).

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

105752520 is a wasteful number, since it uses less digits than its factorization.

105752520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97939 (or 97929 counting only the distinct ones).

The product of its (nonzero) digits is 3500, while the sum is 27.

The square root of 105752520 is about 10283.6044264645. The cubic root of 105752520 is about 472.8937508955.

The spelling of 105752520 in words is "one hundred five million, seven hundred fifty-two thousand, five hundred twenty".