103288244400 has 720 divisors, whose sum is σ = 412382936160. Its totient is φ = 23706009600.

The previous prime is 103288244369. The next prime is 103288244417. The reversal of 103288244400 is 4442882301.

103288244400 is a `hidden beast` number, since 1 + 0 + 3 + 2 + 8 + 8 + 244 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×103288244400² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 60864352 + ... + 60866048.

It is an arithmetic number, because the mean of its divisors is an integer number (572754078).

Almost surely, 2^103288244400 is an apocalyptic number.

103288244400 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 103288244400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206191468080).

103288244400 is an abundant number, since it is smaller than the sum of its proper divisors (309094691760).

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

103288244400 is a wasteful number, since it uses less digits than its factorization.

103288244400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1814 (or 1800 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The spelling of 103288244400 in words is "one hundred three billion, two hundred eighty-eight million, two hundred forty-four thousand, four hundred".