102746540160 has 576 divisors, whose sum is σ = 410561424000. Its totient is φ = 23594250240.

The previous prime is 102746540119. The next prime is 102746540161. The reversal of 102746540160 is 61045647201.

102746540160 is a `hidden beast` number, since 10 + 2 + 7 + 46 + 540 + 1 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is not an unprimeable number, because it can be changed into a prime (102746540161) 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 71 ways as a sum of consecutive naturals, for example, 13238361 + ... + 13246119.

It is an arithmetic number, because the mean of its divisors is an integer number (712780250).

Almost surely, 2^102746540160 is an apocalyptic number.

102746540160 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 102746540160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205280712000).

102746540160 is an abundant number, since it is smaller than the sum of its proper divisors (307814883840).

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

102746540160 is a wasteful number, since it uses less digits than its factorization.

102746540160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7825 (or 7799 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 102746540160 in words is "one hundred two billion, seven hundred forty-six million, five hundred forty thousand, one hundred sixty".