105232530 has 64 divisors (see below), whose sum is σ = 277820928. Its totient is φ = 25347840.

The previous prime is 105232511. The next prime is 105232537. The reversal of 105232530 is 35232501.

It is a super-2 number, since 2×105232530² = 22147770740401800, which contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 105232497 and 105232506.

It is not an unprimeable number, because it can be changed into a prime (105232537) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15460 + ... + 21200.

It is an arithmetic number, because the mean of its divisors is an integer number (4340952).

Almost surely, 2^105232530 is an apocalyptic number.

105232530 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 105232530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138910464).

105232530 is an abundant number, since it is smaller than the sum of its proper divisors (172588398).

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

105232530 is a wasteful number, since it uses less digits than its factorization.

105232530 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5811.

The product of its (nonzero) digits is 900, while the sum is 21.

The square root of 105232530 is about 10258.2907933047. The cubic root of 105232530 is about 472.1173969450.

The spelling of 105232530 in words is "one hundred five million, two hundred thirty-two thousand, five hundred thirty".