105201814645300 has 288 divisors, whose sum is σ = 241399541440512. Its totient is φ = 39717431761920.

The previous prime is 105201814645297. The next prime is 105201814645313. The reversal of 105201814645300 is 3546418102501.

It is a super-2 number, since 2×105201814645300² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 32844773499 + ... + 32844776701.

It is an arithmetic number, because the mean of its divisors is an integer number (838192852224).

Almost surely, 2^{105201814645300} is an apocalyptic number.

105201814645300 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 105201814645300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120699770720256).

105201814645300 is an abundant number, since it is smaller than the sum of its proper divisors (136197726795212).

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

105201814645300 is a wasteful number, since it uses less digits than its factorization.

105201814645300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4007 (or 4000 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 40.

The spelling of 105201814645300 in words is "one hundred five trillion, two hundred one billion, eight hundred fourteen million, six hundred forty-five thousand, three hundred".