102008445000 has 1440 divisors, whose sum is σ = 431978722560. Its totient is φ = 19958400000.

The previous prime is 102008444983. The next prime is 102008445047. The reversal of 102008445000 is 544800201.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 2756984982 + ... + 2756985018.

It is an arithmetic number, because the mean of its divisors is an integer number (299985224).

Almost surely, 2^102008445000 is an apocalyptic number.

102008445000 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 102008445000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215989361280).

102008445000 is an abundant number, since it is smaller than the sum of its proper divisors (329970277560).

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

102008445000 is a wasteful number, since it uses less digits than its factorization.

102008445000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

The spelling of 102008445000 in words is "one hundred two billion, eight million, four hundred forty-five thousand".