105535032 has 32 divisors (see below), whose sum is σ = 264174480. Its totient is φ = 35133440.

The previous prime is 105535021. The next prime is 105535033. The reversal of 105535032 is 230535501.

It is a super-2 number, since 2×105535032² = 22275285958482048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 105534993 and 105535011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105535033) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20248 + ... + 24920.

Almost surely, 2^105535032 is an apocalyptic number.

105535032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105535032 is an abundant number, since it is smaller than the sum of its proper divisors (158639448).

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

105535032 is a wasteful number, since it uses less digits than its factorization.

105535032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5623 (or 5619 counting only the distinct ones).

The product of its (nonzero) digits is 2250, while the sum is 24.

The square root of 105535032 is about 10273.0244816218. The cubic root of 105535032 is about 472.5693479021.

The spelling of 105535032 in words is "one hundred five million, five hundred thirty-five thousand, thirty-two".