101608267488 has 864 divisors, whose sum is σ = 366345504000. Its totient is φ = 24568427520.

The previous prime is 101608267471. The next prime is 101608267493. The reversal of 101608267488 is 884762806101.

It is a self number, because there is not a number n which added to its sum of digits gives 101608267488.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3277686033 + ... + 3277686063.

It is an arithmetic number, because the mean of its divisors is an integer number (424011000).

Almost surely, 2^101608267488 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 101608267488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183172752000).

101608267488 is an abundant number, since it is smaller than the sum of its proper divisors (264737236512).

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

101608267488 is a wasteful number, since it uses less digits than its factorization.

101608267488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 51.

The spelling of 101608267488 in words is "one hundred one billion, six hundred eight million, two hundred sixty-seven thousand, four hundred eighty-eight".