102465000000 has 1120 divisors, whose sum is σ = 432195768576. Its totient is φ = 23760000000.

The previous prime is 102464999983. The next prime is 102465000007. The reversal of 102465000000 is 564201.

It is a happy number.

102465000000 is a `hidden beast` number, since 10 + 2 + 4 + 650 + 0 + 0 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (102465000007) by changing a digit.

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 159 ways as a sum of consecutive naturals, for example, 4454999989 + ... + 4455000011.

Almost surely, 2^102465000000 is an apocalyptic number.

102465000000 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 102465000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216097884288).

102465000000 is an abundant number, since it is smaller than the sum of its proper divisors (329730768576).

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

102465000000 is an frugal number, since it uses more digits than its factorization.

102465000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

Adding to 102465000000 its reverse (564201), we get a palindrome (102465564201).

The spelling of 102465000000 in words is "one hundred two billion, four hundred sixty-five million", and thus it is an aban number.