102351051400 has 192 divisors, whose sum is σ = 265633779600. Its totient is φ = 36415733760.

The previous prime is 102351051337. The next prime is 102351051409. The reversal of 102351051400 is 4150153201.

It is a happy number.

It can be written as a sum of positive squares in 24 ways, for example, as 4973352484 + 97377698916 = 70522^2 + 312054^2 .

It is not an unprimeable number, because it can be changed into a prime (102351051409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 50743192 + ... + 50745208.

Almost surely, 2^102351051400 is an apocalyptic number.

102351051400 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 102351051400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132816889800).

102351051400 is an abundant number, since it is smaller than the sum of its proper divisors (163282728200).

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

102351051400 is a wasteful number, since it uses less digits than its factorization.

102351051400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2748 (or 2739 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 22.

The spelling of 102351051400 in words is "one hundred two billion, three hundred fifty-one million, fifty-one thousand, four hundred".