100727256500 has 96 divisors (see below), whose sum is σ = 240795233952. Its totient is φ = 36581760000.

The previous prime is 100727256481. The next prime is 100727256523. The reversal of 100727256500 is 5652727001.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 81035870224 + 19691386276 = 284668^2 + 140326^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 269480 + ... + 523520.

It is an arithmetic number, because the mean of its divisors is an integer number (2508283687).

Almost surely, 2^100727256500 is an apocalyptic number.

100727256500 is a gapful number since it is divisible by the number (10) 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 100727256500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120397616976).

100727256500 is an abundant number, since it is smaller than the sum of its proper divisors (140067977452).

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

100727256500 is a wasteful number, since it uses less digits than its factorization.

100727256500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254134 (or 254122 counting only the distinct ones).

The product of its (nonzero) digits is 29400, while the sum is 35.

The spelling of 100727256500 in words is "one hundred billion, seven hundred twenty-seven million, two hundred fifty-six thousand, five hundred".