102079129152 has 896 divisors, whose sum is σ = 388349337600. Its totient is φ = 22773104640.

The previous prime is 102079129151. The next prime is 102079129157. The reversal of 102079129152 is 251921970201.

It is a super-3 number, since 3×102079129152³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 102079129152.

It is not an unprimeable number, because it can be changed into a prime (102079129151) 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 127 ways as a sum of consecutive naturals, for example, 512960349 + ... + 512960547.

It is an arithmetic number, because the mean of its divisors is an integer number (433425600).

Almost surely, 2^102079129152 is an apocalyptic number.

102079129152 is a gapful number since it is divisible by the number (12) 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 102079129152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194174668800).

102079129152 is an abundant number, since it is smaller than the sum of its proper divisors (286270208448).

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

102079129152 is a wasteful number, since it uses less digits than its factorization.

102079129152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 39.

The spelling of 102079129152 in words is "one hundred two billion, seventy-nine million, one hundred twenty-nine thousand, one hundred fifty-two".