101360609064 has 768 divisors, whose sum is σ = 351783936000. Its totient is φ = 27159390720.

The previous prime is 101360608997. The next prime is 101360609099. The reversal of 101360609064 is 460906063101.

101360609064 is a `hidden beast` number, since 10 + 1 + 36 + 0 + 609 + 0 + 6 + 4 = 666.

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 polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 798114969 + ... + 798115095.

It is an arithmetic number, because the mean of its divisors is an integer number (458052000).

Almost surely, 2^101360609064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101360609064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175891968000).

101360609064 is an abundant number, since it is smaller than the sum of its proper divisors (250423326936).

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

101360609064 is a wasteful number, since it uses less digits than its factorization.

101360609064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The spelling of 101360609064 in words is "one hundred one billion, three hundred sixty million, six hundred nine thousand, sixty-four".