1007412105 has 16 divisors (see below), whose sum is σ = 1842125184. Its totient is φ = 460531200.

The previous prime is 1007412103. The next prime is 1007412137. The reversal of 1007412105 is 5012147001.

It is a happy number.

1007412105 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1007412105 - 2¹ = 1007412103 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (1007412103) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4797096 + ... + 4797305.

It is an arithmetic number, because the mean of its divisors is an integer number (115132824).

Almost surely, 2^1007412105 is an apocalyptic number.

1007412105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1007412105 is a deficient number, since it is larger than the sum of its proper divisors (834713079).

1007412105 is an equidigital number, since it uses as much as digits as its factorization.

1007412105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9594416.

The product of its (nonzero) digits is 280, while the sum is 21.

The square root of 1007412105 is about 31739.7559064338. The cubic root of 1007412105 is about 1002.4646223132.

Adding to 1007412105 its reverse (5012147001), we get a palindrome (6019559106).

The spelling of 1007412105 in words is "one billion, seven million, four hundred twelve thousand, one hundred five".