101061828 has 36 divisors (see below), whose sum is σ = 291957120. Its totient is φ = 28874736.

The previous prime is 101061823. The next prime is 101061833. The reversal of 101061828 is 828160101.

101061828 is a `hidden beast` number, since 10 + 10 + 618 + 28 = 666.

It is an interprime number because it is at equal distance from previous prime (101061823) and next prime (101061833).

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

It is not an unprimeable number, because it can be changed into a prime (101061823) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 200268 + ... + 200771.

It is an arithmetic number, because the mean of its divisors is an integer number (8109920).

Almost surely, 2^101061828 is an apocalyptic number.

101061828 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

101061828 is an abundant number, since it is smaller than the sum of its proper divisors (190895292).

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

101061828 is a wasteful number, since it uses less digits than its factorization.

101061828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401056 (or 401051 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 27.

The square root of 101061828 is about 10052.9512084760. The cubic root of 101061828 is about 465.7959589818.

The spelling of 101061828 in words is "one hundred one million, sixty-one thousand, eight hundred twenty-eight".