256010100 has 72 divisors (see below), whose sum is σ = 742848288. Its totient is φ = 68073600.

The previous prime is 256010093. The next prime is 256010101. The reversal of 256010100 is 1010652.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 256010100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256010101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 125287 + ... + 127313.

Almost surely, 2^256010100 is an apocalyptic number.

256010100 is a gapful number since it is divisible by the number (20) 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 256010100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371424144).

256010100 is an abundant number, since it is smaller than the sum of its proper divisors (486838188).

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

256010100 is a wasteful number, since it uses less digits than its factorization.

256010100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2465 (or 2458 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 256010100 is about 16000.3156218870. The cubic root of 256010100 is about 634.9687710684.

Adding to 256010100 its reverse (1010652), we get a palindrome (257020752).

The spelling of 256010100 in words is "two hundred fifty-six million, ten thousand, one hundred".