102073099320 has 640 divisors, whose sum is σ = 381909686400. Its totient is φ = 24320507904.

The previous prime is 102073099283. The next prime is 102073099327. The reversal of 102073099320 is 23990370201.

102073099320 is a `hidden beast` number, since 1 + 0 + 20 + 7 + 309 + 9 + 320 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102073099327) 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 159 ways as a sum of consecutive naturals, for example, 249567276 + ... + 249567684.

It is an arithmetic number, because the mean of its divisors is an integer number (596733885).

Almost surely, 2^102073099320 is an apocalyptic number.

102073099320 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 102073099320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190954843200).

102073099320 is an abundant number, since it is smaller than the sum of its proper divisors (279836587080).

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

102073099320 is a wasteful number, since it uses less digits than its factorization.

102073099320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 669 (or 656 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

The spelling of 102073099320 in words is "one hundred two billion, seventy-three million, ninety-nine thousand, three hundred twenty".