106009743840 has 1152 divisors, whose sum is σ = 467610941952. Its totient is φ = 19833569280.

The previous prime is 106009743779. The next prime is 106009743863. The reversal of 106009743840 is 48347900601.

It is a super-2 number, since 2×106009743840² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 106009743792 and 106009743801.

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, 144624114 + ... + 144624846.

It is an arithmetic number, because the mean of its divisors is an integer number (405912276).

Almost surely, 2^106009743840 is an apocalyptic number.

106009743840 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 106009743840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233805470976).

106009743840 is an abundant number, since it is smaller than the sum of its proper divisors (361601198112).

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

106009743840 is a wasteful number, since it uses less digits than its factorization.

106009743840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 832 (or 817 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The spelling of 106009743840 in words is "one hundred six billion, nine million, seven hundred forty-three thousand, eight hundred forty".