256107706100 has 36 divisors (see below), whose sum is σ = 556273836300. Its totient is φ = 102347208960.

The previous prime is 256107706091. The next prime is 256107706109. The reversal of 256107706100 is 1607701652.

It is an interprime number because it is at equal distance from previous prime (256107706091) and next prime (256107706109).

It can be written as a sum of positive squares in 6 ways, for example, as 12620724964 + 243486981136 = 112342^2 + 493444^2 .

It is a super-3 number, since 3×256107706100³ (a number of 35 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256107706109) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1090985 + ... + 1304784.

Almost surely, 2^256107706100 is an apocalyptic number.

256107706100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

256107706100 is an abundant number, since it is smaller than the sum of its proper divisors (300166130200).

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

256107706100 is a wasteful number, since it uses less digits than its factorization.

256107706100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2396852 (or 2396845 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 35.

The spelling of 256107706100 in words is "two hundred fifty-six billion, one hundred seven million, seven hundred six thousand, one hundred".