105046032 has 80 divisors (see below), whose sum is σ = 334006400. Its totient is φ = 27703296.

The previous prime is 105046027. The next prime is 105046061. The reversal of 105046032 is 230640501.

It is a happy number.

It is a super-2 number, since 2×105046032² = 22069337677890048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7657 + ... + 16392.

It is an arithmetic number, because the mean of its divisors is an integer number (4175080).

Almost surely, 2^105046032 is an apocalyptic number.

105046032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105046032 is an abundant number, since it is smaller than the sum of its proper divisors (228960368).

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

105046032 is a wasteful number, since it uses less digits than its factorization.

105046032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24080 (or 24074 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 105046032 is about 10249.1966514454. The cubic root of 105046032 is about 471.8383291942.

Adding to 105046032 its reverse (230640501), we get a palindrome (335686533).

The spelling of 105046032 in words is "one hundred five million, forty-six thousand, thirty-two".