101743580252160 has 2304 divisors, whose sum is σ = 471666256588800. Its totient is φ = 20411390361600.

The previous prime is 101743580252141. The next prime is 101743580252179. The reversal of 101743580252160 is 61252085347101.

101743580252160 is a `hidden beast` number, since 1 + 0 + 1 + 7 + 4 + 3 + 580 + 2 + 5 + 2 + 1 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (101743580252141) and next prime (101743580252179).

It is a tau number, because it is divible by the number of its divisors (2304).

It is a super-2 number, since 2×101743580252160² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 5556409405 + ... + 5556427715.

It is an arithmetic number, because the mean of its divisors is an integer number (204716257200).

Almost surely, 2^{101743580252160} is an apocalyptic number.

101743580252160 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 101743580252160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235833128294400).

101743580252160 is an abundant number, since it is smaller than the sum of its proper divisors (369922676336640).

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

101743580252160 is a wasteful number, since it uses less digits than its factorization.

101743580252160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18400 (or 18368 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 101743580252160 in words is "one hundred one trillion, seven hundred forty-three billion, five hundred eighty million, two hundred fifty-two thousand, one hundred sixty".