106447526640 has 480 divisors, whose sum is σ = 440681544576. Its totient is φ = 22423633920.

The previous prime is 106447526639. The next prime is 106447526683. The reversal of 106447526640 is 46625744601.

106447526640 is a `hidden beast` number, since 1 + 0 + 64 + 4 + 7 + 526 + 64 + 0 = 666.

It is a super-2 number, since 2×106447526640² (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, 71874700 + ... + 71876180.

Almost surely, 2^106447526640 is an apocalyptic number.

106447526640 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 106447526640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220340772288).

106447526640 is an abundant number, since it is smaller than the sum of its proper divisors (334234017936).

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

106447526640 is a wasteful number, since it uses less digits than its factorization.

106447526640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2617 (or 2608 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 106447526640 in words is "one hundred six billion, four hundred forty-seven million, five hundred twenty-six thousand, six hundred forty".