101826828 has 36 divisors (see below), whose sum is σ = 264267640. Its totient is φ = 33907320.

The previous prime is 101826811. The next prime is 101826853. The reversal of 101826828 is 828628101.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 101826792 and 101826801.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 104383 + ... + 105353.

Almost surely, 2^101826828 is an apocalyptic number.

101826828 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

101826828 is an abundant number, since it is smaller than the sum of its proper divisors (162440812).

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

101826828 is an frugal number, since it uses more digits than its factorization.

101826828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1955 (or 976 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The square root of 101826828 is about 10090.9280048963. The cubic root of 101826828 is about 466.9683058945.

Multiplying 101826828 by its product of nonzero digits (12288), we get a square (1251248062464 = 1118592²).

The spelling of 101826828 in words is "one hundred one million, eight hundred twenty-six thousand, eight hundred twenty-eight".