105233552 has 40 divisors (see below), whose sum is σ = 219881760. Its totient is φ = 48625920.

The previous prime is 105233549. The next prime is 105233603. The reversal of 105233552 is 255332501.

It is a super-2 number, since 2×105233552² = 22148200933073408, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8243 + ... + 16685.

It is an arithmetic number, because the mean of its divisors is an integer number (5497044).

Almost surely, 2^105233552 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105233552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109940880).

105233552 is an abundant number, since it is smaller than the sum of its proper divisors (114648208).

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

105233552 is a wasteful number, since it uses less digits than its factorization.

105233552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8511 (or 8505 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 26.

The square root of 105233552 is about 10258.3406065504. The cubic root of 105233552 is about 472.1189253141.

The spelling of 105233552 in words is "one hundred five million, two hundred thirty-three thousand, five hundred fifty-two".