106013413440 has 448 divisors, whose sum is σ = 408965034240. Its totient is φ = 25638912000.

The previous prime is 106013413421. The next prime is 106013413469. The reversal of 106013413440 is 44314310601.

106013413440 is a `hidden beast` number, since 1 + 0 + 601 + 3 + 4 + 13 + 4 + 40 = 666.

It is a super-2 number, since 2×106013413440² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 49514770 + ... + 49516910.

It is an arithmetic number, because the mean of its divisors is an integer number (912868380).

Almost surely, 2^106013413440 is an apocalyptic number.

106013413440 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 106013413440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204482517120).

106013413440 is an abundant number, since it is smaller than the sum of its proper divisors (302951620800).

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

106013413440 is a wasteful number, since it uses less digits than its factorization.

106013413440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2699 (or 2683 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The spelling of 106013413440 in words is "one hundred six billion, thirteen million, four hundred thirteen thousand, four hundred forty".