102200503105440 has 576 divisors, whose sum is σ = 383283458603136. Its totient is φ = 25628074278912.

The previous prime is 102200503105411. The next prime is 102200503105453. The reversal of 102200503105440 is 44501305002201.

102200503105440 is a `hidden beast` number, since 1 + 0 + 2 + 200 + 5 + 0 + 3 + 10 + 5 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 768630004 + ... + 768762956.

It is an arithmetic number, because the mean of its divisors is an integer number (665422671186).

Almost surely, 2^{102200503105440} is an apocalyptic number.

102200503105440 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 102200503105440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191641729301568).

102200503105440 is an abundant number, since it is smaller than the sum of its proper divisors (281082955497696).

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

102200503105440 is a wasteful number, since it uses less digits than its factorization.

102200503105440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134163 (or 134143 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 102200503105440 its reverse (44501305002201), we get a palindrome (146701808107641).

The spelling of 102200503105440 in words is "one hundred two trillion, two hundred billion, five hundred three million, one hundred five thousand, four hundred forty".