101306805600 has 576 divisors, whose sum is σ = 442756661760. Its totient is φ = 19431014400.

The previous prime is 101306805541. The next prime is 101306805689. The reversal of 101306805600 is 6508603101.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2381316 + ... + 2423484.

It is an arithmetic number, because the mean of its divisors is an integer number (768674760).

Almost surely, 2^101306805600 is an apocalyptic number.

101306805600 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 101306805600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221378330880).

101306805600 is an abundant number, since it is smaller than the sum of its proper divisors (341449856160).

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

101306805600 is a wasteful number, since it uses less digits than its factorization.

101306805600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42223 (or 42210 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The spelling of 101306805600 in words is "one hundred one billion, three hundred six million, eight hundred five thousand, six hundred".