106825878 has 20 divisors (see below), whose sum is σ = 239369460. Its totient is φ = 35608572.

The previous prime is 106825871. The next prime is 106825883. The reversal of 106825878 is 878528601.

106825878 is a `hidden beast` number, since 1 + 0 + 68 + 2 + 587 + 8 = 666.

It is a super-2 number, since 2×106825878² = 22823536420941768, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106825871) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 329548 + ... + 329871.

It is an arithmetic number, because the mean of its divisors is an integer number (11968473).

Almost surely, 2^106825878 is an apocalyptic number.

106825878 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

106825878 is an abundant number, since it is smaller than the sum of its proper divisors (132543582).

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

106825878 is an equidigital number, since it uses as much as digits as its factorization.

106825878 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 659433 (or 659424 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 45.

The square root of 106825878 is about 10335.6605013903. The cubic root of 106825878 is about 474.4882806844.

The spelling of 106825878 in words is "one hundred six million, eight hundred twenty-five thousand, eight hundred seventy-eight".