102056050311600 has 480 divisors, whose sum is σ = 407971832131584. Its totient is φ = 21186481996800.

The previous prime is 102056050311583. The next prime is 102056050311617. The reversal of 102056050311600 is 6113050650201.

It is an interprime number because it is at equal distance from previous prime (102056050311583) and next prime (102056050311617).

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

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, 97701679 + ... + 98740721.

Almost surely, 2^{102056050311600} is an apocalyptic number.

102056050311600 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 102056050311600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203985916065792).

102056050311600 is an abundant number, since it is smaller than the sum of its proper divisors (305915781819984).

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

102056050311600 is a wasteful number, since it uses less digits than its factorization.

102056050311600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1040145 (or 1040134 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 30.

The spelling of 102056050311600 in words is "one hundred two trillion, fifty-six billion, fifty million, three hundred eleven thousand, six hundred".