102975594140160 has 2880 divisors, whose sum is σ = 460191940116480. Its totient is φ = 21564657008640.

The previous prime is 102975594140123. The next prime is 102975594140171. The reversal of 102975594140160 is 61041495579201.

102975594140160 is a `hidden beast` number, since 1 + 0 + 2 + 9 + 7 + 5 + 594 + 1 + 40 + 1 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 102975594140097 and 102975594140106.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 69250566937 + ... + 69250568423.

It is an arithmetic number, because the mean of its divisors is an integer number (159788868096).

Almost surely, 2^{102975594140160} is an apocalyptic number.

102975594140160 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 102975594140160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230095970058240).

102975594140160 is an abundant number, since it is smaller than the sum of its proper divisors (357216345976320).

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

102975594140160 is an frugal number, since it uses more digits than its factorization.

102975594140160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1591 (or 1554 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 54.

The spelling of 102975594140160 in words is "one hundred two trillion, nine hundred seventy-five billion, five hundred ninety-four million, one hundred forty thousand, one hundred sixty".