101364365600 has 144 divisors (see below), whose sum is σ = 258278547240. Its totient is φ = 38809804800.

The previous prime is 101364365587. The next prime is 101364365603. The reversal of 101364365600 is 6563463101.

It can be written as a sum of positive squares in 12 ways, for example, as 517471504 + 100846894096 = 22748^2 + 317564^2 .

It is a super-3 number, since 3×101364365600³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (101364365603) 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, 1709246 + ... + 1767554.

Almost surely, 2^101364365600 is an apocalyptic number.

101364365600 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 101364365600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129139273620).

101364365600 is an abundant number, since it is smaller than the sum of its proper divisors (156914181640).

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

101364365600 is a wasteful number, since it uses less digits than its factorization.

101364365600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58423 (or 58410 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 35.

The spelling of 101364365600 in words is "one hundred one billion, three hundred sixty-four million, three hundred sixty-five thousand, six hundred".