106043134440 has 128 divisors (see below), whose sum is σ = 324268531200. Its totient is φ = 27735121920.

The previous prime is 106043134369. The next prime is 106043134459. The reversal of 106043134440 is 44431340601.

It is a super-2 number, since 2×106043134440² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 106043134398 and 106043134407.

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 31 ways as a sum of consecutive naturals, for example, 2563441 + ... + 2604479.

It is an arithmetic number, because the mean of its divisors is an integer number (2533347900).

Almost surely, 2^106043134440 is an apocalyptic number.

106043134440 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 106043134440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162134265600).

106043134440 is an abundant number, since it is smaller than the sum of its proper divisors (218225396760).

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

106043134440 is a wasteful number, since it uses less digits than its factorization.

106043134440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41467 (or 41463 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The spelling of 106043134440 in words is "one hundred six billion, forty-three million, one hundred thirty-four thousand, four hundred forty".