102089658078240 has 288 divisors, whose sum is σ = 374179379140224. Its totient is φ = 23328933949440.

The previous prime is 102089658078211. The next prime is 102089658078259. The reversal of 102089658078240 is 42870856980201.

102089658078240 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×102089658078240² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 93703020 + ... + 94786260.

It is an arithmetic number, because the mean of its divisors is an integer number (1299233955348).

Almost surely, 2^{102089658078240} is an apocalyptic number.

102089658078240 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 102089658078240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187089689570112).

102089658078240 is an abundant number, since it is smaller than the sum of its proper divisors (272089721061984).

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

102089658078240 is a wasteful number, since it uses less digits than its factorization.

102089658078240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1087280 (or 1087265 counting only the distinct ones).

The product of its (nonzero) digits is 15482880, while the sum is 60.

The spelling of 102089658078240 in words is "one hundred two trillion, eighty-nine billion, six hundred fifty-eight million, seventy-eight thousand, two hundred forty".