101804256 has 192 divisors, whose sum is σ = 319334400. Its totient is φ = 31477248.

The previous prime is 101804237. The next prime is 101804257. The reversal of 101804256 is 652408101.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101804257) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 933930 + ... + 934038.

It is an arithmetic number, because the mean of its divisors is an integer number (1663200).

Almost surely, 2^101804256 is an apocalyptic number.

101804256 is a gapful number since it is divisible by the number (16) 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 101804256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159667200).

101804256 is an abundant number, since it is smaller than the sum of its proper divisors (217530144).

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

101804256 is a wasteful number, since it uses less digits than its factorization.

101804256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 101804256 is about 10089.8095125726. The cubic root of 101804256 is about 466.9337989847.

It can be divided in two parts, 101 and 804256, that added together give a cube (804357 = 93³).

The spelling of 101804256 in words is "one hundred one million, eight hundred four thousand, two hundred fifty-six".