106585346070 has 320 divisors, whose sum is σ = 338992422912. Its totient is φ = 23539118400.

The previous prime is 106585346059. The next prime is 106585346081. The reversal of 106585346070 is 70643585601.

106585346070 is a `hidden beast` number, since 1 + 0 + 6 + 5 + 8 + 5 + 34 + 607 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (106585346059) and next prime (106585346081).

It is a super-2 number, since 2×106585346070² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 159 ways as a sum of consecutive naturals, for example, 168914655 + ... + 168915285.

Almost surely, 2^106585346070 is an apocalyptic number.

106585346070 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 106585346070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169496211456).

106585346070 is an abundant number, since it is smaller than the sum of its proper divisors (232407076842).

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

106585346070 is an frugal number, since it uses more digits than its factorization.

106585346070 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 750 (or 679 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 106585346070 in words is "one hundred six billion, five hundred eighty-five million, three hundred forty-six thousand, seventy".