102406022145000 has 1280 divisors, whose sum is σ = 415445254963200. Its totient is φ = 22878236160000.

The previous prime is 102406022144887. The next prime is 102406022145017. The reversal of 102406022145000 is 541220604201.

102406022145000 is a `hidden beast` number, since 1 + 0 + 2 + 4 + 0 + 602 + 2 + 1 + 4 + 50 + 0 + 0 = 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 319 ways as a sum of consecutive naturals, for example, 54674864064 + ... + 54674865936.

It is an arithmetic number, because the mean of its divisors is an integer number (324566605440).

Almost surely, 2^{102406022145000} is an apocalyptic number.

102406022145000 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 102406022145000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207722627481600).

102406022145000 is an abundant number, since it is smaller than the sum of its proper divisors (313039232818200).

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

102406022145000 is a wasteful number, since it uses less digits than its factorization.

102406022145000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3193 (or 3168 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 102406022145000 its reverse (541220604201), we get a palindrome (102947242749201).

The spelling of 102406022145000 in words is "one hundred two trillion, four hundred six billion, twenty-two million, one hundred forty-five thousand".