101379803616 has 216 divisors, whose sum is σ = 361166203944. Its totient is φ = 26737482240.

The previous prime is 101379803597. The next prime is 101379803621. The reversal of 101379803616 is 616308973101.

101379803616 is a `hidden beast` number, since 10 + 13 + 7 + 9 + 8 + 0 + 3 + 616 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 92850 + ... + 459761.

It is an arithmetic number, because the mean of its divisors is an integer number (1672065759).

Almost surely, 2^101379803616 is an apocalyptic number.

101379803616 is a gapful number since it is divisible by the number (16) 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 101379803616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180583101972).

101379803616 is an abundant number, since it is smaller than the sum of its proper divisors (259786400328).

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

101379803616 is a wasteful number, since it uses less digits than its factorization.

101379803616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 552654 (or 552636 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The spelling of 101379803616 in words is "one hundred one billion, three hundred seventy-nine million, eight hundred three thousand, six hundred sixteen".