105553332 has 18 divisors (see below), whose sum is σ = 266815458. Its totient is φ = 35184432.

The previous prime is 105553321. The next prime is 105553333. The reversal of 105553332 is 233355501.

105553332 is a `hidden beast` number, since 105 + 553 + 3 + 3 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 101727396 + 3825936 = 10086^2 + 1956^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×105553332² = 22283011792604448, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105553296 and 105553305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105553333) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1465983 + ... + 1466054.

It is an arithmetic number, because the mean of its divisors is an integer number (14823081).

Almost surely, 2^105553332 is an apocalyptic number.

105553332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105553332 is an abundant number, since it is smaller than the sum of its proper divisors (161262126).

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

105553332 is a wasteful number, since it uses less digits than its factorization.

105553332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2932047 (or 2932042 counting only the distinct ones).

The product of its (nonzero) digits is 6750, while the sum is 27.

The square root of 105553332 is about 10273.9151252091. The cubic root of 105553332 is about 472.5966611683.

The spelling of 105553332 in words is "one hundred five million, five hundred fifty-three thousand, three hundred thirty-two".