101135696760 has 192 divisors, whose sum is σ = 375944025600. Its totient is φ = 23098445568.

The previous prime is 101135696749. The next prime is 101135696791. The reversal of 101135696760 is 67696531101.

101135696760 is a `hidden beast` number, since 1 + 0 + 1 + 13 + 569 + 6 + 76 + 0 = 666.

It is a super-4 number, since 4×101135696760⁴ (a number of 45 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3308667 + ... + 3339093.

It is an arithmetic number, because the mean of its divisors is an integer number (1958041800).

Almost surely, 2^101135696760 is an apocalyptic number.

101135696760 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 101135696760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187972012800).

101135696760 is an abundant number, since it is smaller than the sum of its proper divisors (274808328840).

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

101135696760 is a wasteful number, since it uses less digits than its factorization.

101135696760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31770 (or 31763 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The spelling of 101135696760 in words is "one hundred one billion, one hundred thirty-five million, six hundred ninety-six thousand, seven hundred sixty".