101364160752 has 640 divisors, whose sum is σ = 328564684800. Its totient is φ = 30177100800.

The previous prime is 101364160727. The next prime is 101364160753. The reversal of 101364160752 is 257061463101.

101364160752 is a `hidden beast` number, since 1 + 0 + 1 + 3 + 6 + 41 + 607 + 5 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101364160753) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1003605502 + ... + 1003605602.

It is an arithmetic number, because the mean of its divisors is an integer number (513382320).

Almost surely, 2^101364160752 is an apocalyptic number.

101364160752 is a gapful number since it is divisible by the number (12) 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 101364160752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164282342400).

101364160752 is an abundant number, since it is smaller than the sum of its proper divisors (227200524048).

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

101364160752 is a wasteful number, since it uses less digits than its factorization.

101364160752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 101364160752 in words is "one hundred one billion, three hundred sixty-four million, one hundred sixty thousand, seven hundred fifty-two".