105121332 has 18 divisors (see below), whose sum is σ = 265723458. Its totient is φ = 35040432.

The previous prime is 105121327. The next prime is 105121351. The reversal of 105121332 is 233121501.

It can be written as a sum of positive squares in only one way, i.e., 83832336 + 21288996 = 9156^2 + 4614^2 .

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

It is a super-2 number, since 2×105121332² = 22100988882908448, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1459983 + ... + 1460054.

Almost surely, 2^105121332 is an apocalyptic number.

105121332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105121332 is an abundant number, since it is smaller than the sum of its proper divisors (160602126).

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

105121332 is a wasteful number, since it uses less digits than its factorization.

105121332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2920047 (or 2920042 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 105121332 is about 10252.8694520120. The cubic root of 105121332 is about 471.9510446688.

Adding to 105121332 its reverse (233121501), we get a palindrome (338242833).

The spelling of 105121332 in words is "one hundred five million, one hundred twenty-one thousand, three hundred thirty-two".