106673511840 has 768 divisors, whose sum is σ = 421985894400. Its totient is φ = 22100262912.

The previous prime is 106673511787. The next prime is 106673511851. The reversal of 106673511840 is 48115376601.

It is a super-2 number, since 2×106673511840² (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 = 106673511792 and 106673511801.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 290663337 + ... + 290663703.

It is an arithmetic number, because the mean of its divisors is an integer number (549460800).

Almost surely, 2^106673511840 is an apocalyptic number.

106673511840 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 106673511840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210992947200).

106673511840 is an abundant number, since it is smaller than the sum of its proper divisors (315312382560).

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

106673511840 is a wasteful number, since it uses less digits than its factorization.

106673511840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 597 (or 589 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The spelling of 106673511840 in words is "one hundred six billion, six hundred seventy-three million, five hundred eleven thousand, eight hundred forty".