106789000513 has 12 divisors (see below), whose sum is σ = 115810487868. Its totient is φ = 98425229760.

The previous prime is 106789000441. The next prime is 106789000543. The reversal of 106789000513 is 315000987601.

106789000513 = 231072² + 231073².

It can be written as a sum of positive squares in 6 ways, for example, as 1871424 + 106787129089 = 1368^2 + 326783^2 .

It is a de Polignac number, because none of the positive numbers 2^k-106789000513 is a prime.

It is a super-2 number, since 2×106789000513² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (106789000543) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 366270 + ... + 589687.

It is an arithmetic number, because the mean of its divisors is an integer number (9650873989).

Almost surely, 2^106789000513 is an apocalyptic number.

106789000513 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

106789000513 is the 231073-rd centered square number.

It is an amenable number.

106789000513 is a deficient number, since it is larger than the sum of its proper divisors (9021487355).

106789000513 is an equidigital number, since it uses as much as digits as its factorization.

106789000513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 956644 (or 956631 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 40.

The spelling of 106789000513 in words is "one hundred six billion, seven hundred eighty-nine million, five hundred thirteen", and thus it is an aban number.