105016032 has 72 divisors (see below), whose sum is σ = 325798200. Its totient is φ = 31822080.

The previous prime is 105016013. The next prime is 105016049. The reversal of 105016032 is 230610501.

105016032 is a `hidden beast` number, since 10 + 50 + 1 + 603 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×105016032² = 22056733954050048, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 105015996 and 105016014.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13407 + ... + 19742.

It is an arithmetic number, because the mean of its divisors is an integer number (4524975).

Almost surely, 2^105016032 is an apocalyptic number.

105016032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105016032 is an abundant number, since it is smaller than the sum of its proper divisors (220782168).

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

105016032 is a wasteful number, since it uses less digits than its factorization.

105016032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33176 (or 33165 counting only the distinct ones).

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

The square root of 105016032 is about 10247.7330175996. The cubic root of 105016032 is about 471.7934076256.

Adding to 105016032 its reverse (230610501), we get a palindrome (335626533).

The spelling of 105016032 in words is "one hundred five million, sixteen thousand, thirty-two".