101364356037560 has 512 divisors, whose sum is σ = 322290690048000. Its totient is φ = 27693093888000.

The previous prime is 101364356037481. The next prime is 101364356037569. The reversal of 101364356037560 is 65730653463101.

It is a junction number, because it is equal to n+sod(n) for n = 101364356037499 and 101364356037508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101364356037569) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 57832085 + ... + 59559035.

It is an arithmetic number, because the mean of its divisors is an integer number (629474004000).

Almost surely, 2^{101364356037560} is an apocalyptic number.

101364356037560 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 101364356037560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161145345024000).

101364356037560 is an abundant number, since it is smaller than the sum of its proper divisors (220926334010440).

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

101364356037560 is a wasteful number, since it uses less digits than its factorization.

101364356037560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1727075 (or 1727071 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 50.

The spelling of 101364356037560 in words is "one hundred one trillion, three hundred sixty-four billion, three hundred fifty-six million, thirty-seven thousand, five hundred sixty".