106585075440 has 480 divisors, whose sum is σ = 393111553536. Its totient is φ = 25763512320.

The previous prime is 106585075433. The next prime is 106585075451. The reversal of 106585075440 is 44570585601.

106585075440 is a `hidden beast` number, since 1 + 0 + 6 + 58 + 50 + 7 + 544 + 0 = 666.

It is a super-2 number, since 2×106585075440² (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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 97515534 + ... + 97516626.

Almost surely, 2^106585075440 is an apocalyptic number.

106585075440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106585075440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196555776768).

106585075440 is an abundant number, since it is smaller than the sum of its proper divisors (286526478096).

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

106585075440 is a wasteful number, since it uses less digits than its factorization.

106585075440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1417 (or 1408 counting only the distinct ones).

The product of its (nonzero) digits is 672000, while the sum is 45.

The spelling of 106585075440 in words is "one hundred six billion, five hundred eighty-five million, seventy-five thousand, four hundred forty".