106825770 has 64 divisors (see below), whose sum is σ = 286640640. Its totient is φ = 28309824.

The previous prime is 106825757. The next prime is 106825801. The reversal of 106825770 is 77528601.

106825770 is a `hidden beast` number, since 1 + 0 + 6 + 82 + 577 + 0 = 666.

It is a super-2 number, since 2×106825770² = 22823490272185800, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45567 + ... + 47853.

It is an arithmetic number, because the mean of its divisors is an integer number (4478760).

Almost surely, 2^106825770 is an apocalyptic number.

106825770 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 106825770, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143320320).

106825770 is an abundant number, since it is smaller than the sum of its proper divisors (179814870).

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

106825770 is a wasteful number, since it uses less digits than its factorization.

106825770 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2476 (or 2470 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The square root of 106825770 is about 10335.6552767592. The cubic root of 106825770 is about 474.4881207832.

The spelling of 106825770 in words is "one hundred six million, eight hundred twenty-five thousand, seven hundred seventy".