106805152 has 36 divisors (see below), whose sum is σ = 223388550. Its totient is φ = 50256896.

The previous prime is 106805143. The next prime is 106805189. The reversal of 106805152 is 251508601.

It can be written as a sum of positive squares in 3 ways, for example, as 102495376 + 4309776 = 10124^2 + 2076^2 .

It is a super-2 number, since 2×106805152² = 22814680987486208, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106805152.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3474 + ... + 15022.

Almost surely, 2^106805152 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 106805152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111694275).

106805152 is an abundant number, since it is smaller than the sum of its proper divisors (116583398).

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

106805152 is a wasteful number, since it uses less digits than its factorization.

106805152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11593 (or 11568 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 28.

The square root of 106805152 is about 10334.6578075909. The cubic root of 106805152 is about 474.4575924892.

The spelling of 106805152 in words is "one hundred six million, eight hundred five thousand, one hundred fifty-two".