106758828 has 72 divisors (see below), whose sum is σ = 295822800. Its totient is φ = 32194560.

The previous prime is 106758787. The next prime is 106758863. The reversal of 106758828 is 828857601.

106758828 is a `hidden beast` number, since 1 + 0 + 67 + 588 + 2 + 8 = 666.

It is a super-2 number, since 2×106758828² = 22794894711867168, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 101248 + ... + 102296.

It is an arithmetic number, because the mean of its divisors is an integer number (4108650).

Almost surely, 2^106758828 is an apocalyptic number.

106758828 is a gapful number since it is divisible by the number (18) 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 106758828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147911400).

106758828 is an abundant number, since it is smaller than the sum of its proper divisors (189063972).

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

106758828 is a wasteful number, since it uses less digits than its factorization.

106758828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1327 (or 1322 counting only the distinct ones).

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

The square root of 106758828 is about 10332.4163679170. The cubic root of 106758828 is about 474.3889879590.

It can be divided in two parts, 10675 and 8828, that added together give a triangular number (19503 = T₁₉₇).

The spelling of 106758828 in words is "one hundred six million, seven hundred fifty-eight thousand, eight hundred twenty-eight".