105355530 has 96 divisors (see below), whose sum is σ = 316742400. Its totient is φ = 23798016.

The previous prime is 105355519. The next prime is 105355531. The reversal of 105355530 is 35553501.

105355530 is a `hidden beast` number, since 105 + 3 + 5 + 553 + 0 = 666.

It is a super-2 number, since 2×105355530² = 22199575403161800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105355494 and 105355503.

It is not an unprimeable number, because it can be changed into a prime (105355531) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 55131 + ... + 57009.

It is an arithmetic number, because the mean of its divisors is an integer number (3299400).

Almost surely, 2^105355530 is an apocalyptic number.

105355530 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 105355530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158371200).

105355530 is an abundant number, since it is smaller than the sum of its proper divisors (211386870).

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

105355530 is a wasteful number, since it uses less digits than its factorization.

105355530 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1988 (or 1985 counting only the distinct ones).

The product of its (nonzero) digits is 5625, while the sum is 27.

The square root of 105355530 is about 10264.2841932597. The cubic root of 105355530 is about 472.3012685719.

The spelling of 105355530 in words is "one hundred five million, three hundred fifty-five thousand, five hundred thirty".