106159872 has 288 divisors, whose sum is σ = 366284800. Its totient is φ = 27095040.

The previous prime is 106159861. The next prime is 106159877. The reversal of 106159872 is 278951601.

It is a super-2 number, since 2×106159872² = 22539836846112768, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 106159872.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106159877) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3424497 + ... + 3424527.

Almost surely, 2^106159872 is an apocalyptic number.

106159872 is a gapful number since it is divisible by the number (12) 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 106159872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183142400).

106159872 is an abundant number, since it is smaller than the sum of its proper divisors (260124928).

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

106159872 is an equidigital number, since it uses as much as digits as its factorization.

106159872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 39.

The square root of 106159872 is about 10303.3912863678. The cubic root of 106159872 is about 473.5001585250.

The spelling of 106159872 in words is "one hundred six million, one hundred fifty-nine thousand, eight hundred seventy-two".