105526432 has 48 divisors (see below), whose sum is σ = 227556000. Its totient is φ = 47773440.

The previous prime is 105526427. The next prime is 105526457. The reversal of 105526432 is 234625501.

It is a super-2 number, since 2×105526432² = 22271655701301248, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105526432.

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, 122419 + ... + 123277.

It is an arithmetic number, because the mean of its divisors is an integer number (4740750).

Almost surely, 2^105526432 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 105526432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113778000).

105526432 is an abundant number, since it is smaller than the sum of its proper divisors (122029568).

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

105526432 is a wasteful number, since it uses less digits than its factorization.

105526432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1229 (or 1221 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 28.

The square root of 105526432 is about 10272.6059011334. The cubic root of 105526432 is about 472.5565110690.

The spelling of 105526432 in words is "one hundred five million, five hundred twenty-six thousand, four hundred thirty-two".