102350400000 has 240 divisors, whose sum is σ = 340828998048. Its totient is φ = 27292160000.

The previous prime is 102350399981. The next prime is 102350400001. The reversal of 102350400000 is 4053201.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (102350400001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4789339 + ... + 4810661.

Almost surely, 2^102350400000 is an apocalyptic number.

102350400000 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 102350400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170414499024).

102350400000 is an abundant number, since it is smaller than the sum of its proper divisors (238478598048).

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

102350400000 is an frugal number, since it uses more digits than its factorization.

102350400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21369 (or 21333 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

Adding to 102350400000 its reverse (4053201), we get a palindrome (102354453201).

The spelling of 102350400000 in words is "one hundred two billion, three hundred fifty million, four hundred thousand".