101355828 has 48 divisors (see below), whose sum is σ = 274001280. Its totient is φ = 28560384.

The previous prime is 101355827. The next prime is 101355847. The reversal of 101355828 is 828553101.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101355827) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2133 + ... + 14396.

It is an arithmetic number, because the mean of its divisors is an integer number (5708360).

Almost surely, 2^101355828 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101355828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137000640).

101355828 is an abundant number, since it is smaller than the sum of its proper divisors (172645452).

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

101355828 is a wasteful number, since it uses less digits than its factorization.

101355828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16616 (or 16614 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 33.

The square root of 101355828 is about 10067.5631609640. The cubic root of 101355828 is about 466.2472056221.

The spelling of 101355828 in words is "one hundred one million, three hundred fifty-five thousand, eight hundred twenty-eight".