106707370440 has 256 divisors, whose sum is σ = 365879255040. Its totient is φ = 24659712000.

The previous prime is 106707370433. The next prime is 106707370457. The reversal of 106707370440 is 44073707601.

106707370440 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×106707370440² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2722180 + ... + 2761100.

It is an arithmetic number, because the mean of its divisors is an integer number (1429215840).

Almost surely, 2^106707370440 is an apocalyptic number.

106707370440 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 106707370440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182939627520).

106707370440 is an abundant number, since it is smaller than the sum of its proper divisors (259171884600).

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

106707370440 is a wasteful number, since it uses less digits than its factorization.

106707370440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39044 (or 39040 counting only the distinct ones).

The product of its (nonzero) digits is 98784, while the sum is 39.

The spelling of 106707370440 in words is "one hundred six billion, seven hundred seven million, three hundred seventy thousand, four hundred forty".