100643256 has 192 divisors, whose sum is σ = 335296800. Its totient is φ = 27869184.

The previous prime is 100643251. The next prime is 100643261. The reversal of 100643256 is 652346001.

100643256 is a `hidden beast` number, since 10 + 0 + 643 + 2 + 5 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (100643251) and next prime (100643261).

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 (100643251) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 391480 + ... + 391736.

Almost surely, 2^100643256 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 100643256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167648400).

100643256 is an abundant number, since it is smaller than the sum of its proper divisors (234653544).

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

100643256 is a wasteful number, since it uses less digits than its factorization.

100643256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 100643256 is about 10032.1112434024. Note that the first 3 decimals coincide. The cubic root of 100643256 is about 465.1520002564.

Adding to 100643256 its reverse (652346001), we get a palindrome (752989257).

The spelling of 100643256 in words is "one hundred million, six hundred forty-three thousand, two hundred fifty-six".