106432034144 has 48 divisors (see below), whose sum is σ = 216837565056. Its totient is φ = 51370752000.

The previous prime is 106432034123. The next prime is 106432034153. The reversal of 106432034144 is 441430234601.

It is a super-2 number, since 2×106432034144² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 106432034144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 264014 + ... + 531570.

It is an arithmetic number, because the mean of its divisors is an integer number (4517449272).

Almost surely, 2^106432034144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106432034144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108418782528).

106432034144 is an abundant number, since it is smaller than the sum of its proper divisors (110405530912).

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

106432034144 is a wasteful number, since it uses less digits than its factorization.

106432034144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267999 (or 267991 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

Adding to 106432034144 its reverse (441430234601), we get a palindrome (547862268745).

The spelling of 106432034144 in words is "one hundred six billion, four hundred thirty-two million, thirty-four thousand, one hundred forty-four".