105032496 has 40 divisors (see below), whose sum is σ = 271701360. Its totient is φ = 34963456.

The previous prime is 105032491. The next prime is 105032533. The reversal of 105032496 is 694230501.

It is a super-2 number, since 2×105032496² = 22063650431980032, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105032491) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 66856 + ... + 68408.

It is an arithmetic number, because the mean of its divisors is an integer number (6792534).

Almost surely, 2^105032496 is an apocalyptic number.

105032496 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

105032496 is an abundant number, since it is smaller than the sum of its proper divisors (166668864).

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

105032496 is a wasteful number, since it uses less digits than its factorization.

105032496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2973 (or 2967 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 105032496 is about 10248.5362857337. The cubic root of 105032496 is about 471.8180616415.

Adding to 105032496 its reverse (694230501), we get a palindrome (799262997).

The spelling of 105032496 in words is "one hundred five million, thirty-two thousand, four hundred ninety-six".