106320745440 has 1152 divisors, whose sum is σ = 465162227712. Its totient is φ = 21518991360.

The previous prime is 106320745409. The next prime is 106320745463. The reversal of 106320745440 is 44547023601.

106320745440 is a `hidden beast` number, since 1 + 0 + 6 + 3 + 207 + 4 + 5 + 440 = 666.

It is a super-2 number, since 2×106320745440² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 106320745395 and 106320745404.

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 191 ways as a sum of consecutive naturals, for example, 375691539 + ... + 375691821.

It is an arithmetic number, because the mean of its divisors is an integer number (403786656).

Almost surely, 2^106320745440 is an apocalyptic number.

106320745440 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 106320745440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232581113856).

106320745440 is an abundant number, since it is smaller than the sum of its proper divisors (358841482272).

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

106320745440 is a wasteful number, since it uses less digits than its factorization.

106320745440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432 (or 421 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 106320745440 in words is "one hundred six billion, three hundred twenty million, seven hundred forty-five thousand, four hundred forty".