101852856 has 256 divisors, whose sum is σ = 348364800. Its totient is φ = 26956800.

The previous prime is 101852827. The next prime is 101852867. The reversal of 101852856 is 658258101.

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

It is a self number, because there is not a number n which added to its sum of digits gives 101852856.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1921726 + ... + 1921778.

It is an arithmetic number, because the mean of its divisors is an integer number (1360800).

Almost surely, 2^101852856 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 101852856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174182400).

101852856 is an abundant number, since it is smaller than the sum of its proper divisors (246511944).

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

101852856 is a wasteful number, since it uses less digits than its factorization.

101852856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 36.

The square root of 101852856 is about 10092.2175957517. The cubic root of 101852856 is about 467.0080898292.

It can be divided in two parts, 10185 and 2856, that added together give a triangular number (13041 = T₁₆₁).

The spelling of 101852856 in words is "one hundred one million, eight hundred fifty-two thousand, eight hundred fifty-six".