106460586468 has 30 divisors (see below), whose sum is σ = 278309003126. Its totient is φ = 35486862048.

The previous prime is 106460586451. The next prime is 106460586509. The reversal of 106460586468 is 864685064601.

106460586468 is a `hidden beast` number, since 10 + 6 + 4 + 6 + 0 + 586 + 46 + 8 = 666.

106460586468 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 79061067684 + 27399518784 = 281178^2 + 165528^2 .

It is a super-2 number, since 2×106460586468² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 164290705 + ... + 164291352.

Almost surely, 2^106460586468 is an apocalyptic number.

106460586468 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

106460586468 is an abundant number, since it is smaller than the sum of its proper divisors (171848416658).

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

106460586468 is a wasteful number, since it uses less digits than its factorization.

106460586468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328582073 (or 328582062 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 106460586468 in words is "one hundred six billion, four hundred sixty million, five hundred eighty-six thousand, four hundred sixty-eight".