101613616104 has 512 divisors, whose sum is σ = 359698268160. Its totient is φ = 23067417600.

The previous prime is 101613616079. The next prime is 101613616123. The reversal of 101613616104 is 401616316101.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 35001517 + ... + 35004419.

It is an arithmetic number, because the mean of its divisors is an integer number (702535680).

Almost surely, 2^101613616104 is an apocalyptic number.

101613616104 is a gapful number since it is divisible by the number (14) 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 101613616104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179849134080).

101613616104 is an abundant number, since it is smaller than the sum of its proper divisors (258084652056).

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

101613616104 is a wasteful number, since it uses less digits than its factorization.

101613616104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3021 (or 3017 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

It can be divided in two parts, 101613 and 616104, that added together give a palindrome (717717).

The spelling of 101613616104 in words is "one hundred one billion, six hundred thirteen million, six hundred sixteen thousand, one hundred four".