101714427360 has 1440 divisors, whose sum is σ = 456307907328. Its totient is φ = 20483850240.

The previous prime is 101714427359. The next prime is 101714427389. The reversal of 101714427360 is 63724417101.

101714427360 is a `hidden beast` number, since 1 + 0 + 171 + 4 + 427 + 3 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1393348284 + ... + 1393348356.

Almost surely, 2^101714427360 is an apocalyptic number.

101714427360 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 101714427360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228153953664).

101714427360 is an abundant number, since it is smaller than the sum of its proper divisors (354593479968).

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

101714427360 is a wasteful number, since it uses less digits than its factorization.

101714427360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The spelling of 101714427360 in words is "one hundred one billion, seven hundred fourteen million, four hundred twenty-seven thousand, three hundred sixty".