103869864000 has 1344 divisors, whose sum is σ = 467309606400. Its totient is φ = 22295347200.

The previous prime is 103869863957. The next prime is 103869864013. The reversal of 103869864000 is 468968301.

103869864000 is a `hidden beast` number, since 103 + 8 + 69 + 86 + 400 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 231335776 + ... + 231336224.

It is an arithmetic number, because the mean of its divisors is an integer number (347700600).

Almost surely, 2^103869864000 is an apocalyptic number.

103869864000 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 103869864000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233654803200).

103869864000 is an abundant number, since it is smaller than the sum of its proper divisors (363439742400).

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

103869864000 is an equidigital number, since it uses as much as digits as its factorization.

103869864000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 515 (or 483 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 103869864000 in words is "one hundred three billion, eight hundred sixty-nine million, eight hundred sixty-four thousand".