106280182704432 has 120 divisors (see below), whose sum is σ = 302343784575280. Its totient is φ = 32146584307200.

The previous prime is 106280182704419. The next prime is 106280182704433. The reversal of 106280182704432 is 234407281082601.

It is a super-2 number, since 2×106280182704432² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (106280182704433) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 13770007 + ... + 20054262.

Almost surely, 2^{106280182704432} is an apocalyptic number.

106280182704432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106280182704432 is an abundant number, since it is smaller than the sum of its proper divisors (196063601870848).

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

106280182704432 is a wasteful number, since it uses less digits than its factorization.

106280182704432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33824843 (or 33824826 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 48.

The spelling of 106280182704432 in words is "one hundred six trillion, two hundred eighty billion, one hundred eighty-two million, seven hundred four thousand, four hundred thirty-two".