105032040 has 32 divisors (see below), whose sum is σ = 315096480. Its totient is φ = 28008512.

The previous prime is 105031991. The next prime is 105032041. The reversal of 105032040 is 40230501.

It is a super-2 number, since 2×105032040² = 22063458853123200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (105032041) 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, 437514 + ... + 437753.

It is an arithmetic number, because the mean of its divisors is an integer number (9846765).

Almost surely, 2^105032040 is an apocalyptic number.

105032040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105032040 is an abundant number, since it is smaller than the sum of its proper divisors (210064440).

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

105032040 is a wasteful number, since it uses less digits than its factorization.

105032040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 875281 (or 875277 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 105032040 is about 10248.5140386302. The cubic root of 105032040 is about 471.8173788390.

Adding to 105032040 its reverse (40230501), we get a palindrome (145262541).

The spelling of 105032040 in words is "one hundred five million, thirty-two thousand, forty".