101531936268 has 192 divisors, whose sum is σ = 307641600000. Its totient is φ = 28946139264.

The previous prime is 101531936237. The next prime is 101531936269. The reversal of 101531936268 is 862639135101.

101531936268 is a `hidden beast` number, since 1 + 0 + 1 + 5 + 3 + 19 + 3 + 626 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (101531936269) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18630408 + ... + 18635856.

It is an arithmetic number, because the mean of its divisors is an integer number (1602300000).

Almost surely, 2^101531936268 is an apocalyptic number.

101531936268 is a gapful number since it is divisible by the number (18) 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 101531936268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153820800000).

101531936268 is an abundant number, since it is smaller than the sum of its proper divisors (206109663732).

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

101531936268 is a wasteful number, since it uses less digits than its factorization.

101531936268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5986 (or 5964 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 101531936268 in words is "one hundred one billion, five hundred thirty-one million, nine hundred thirty-six thousand, two hundred sixty-eight".