101088691968 has 288 divisors, whose sum is σ = 311272093440. Its totient is φ = 28802580480.

The previous prime is 101088691967. The next prime is 101088692011. The reversal of 101088691968 is 869196880101.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101088691961) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21987846 + ... + 21992442.

It is an arithmetic number, because the mean of its divisors is an integer number (1080805880).

Almost surely, 2^101088691968 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 101088691968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155636046720).

101088691968 is an abundant number, since it is smaller than the sum of its proper divisors (210183401472).

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

101088691968 is a wasteful number, since it uses less digits than its factorization.

101088691968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4783 (or 4769 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 57.

The spelling of 101088691968 in words is "one hundred one billion, eighty-eight million, six hundred ninety-one thousand, nine hundred sixty-eight".