101108059954560 has 640 divisors, whose sum is σ = 376856196710400. Its totient is φ = 25784260153344.

The previous prime is 101108059954529. The next prime is 101108059954571. The reversal of 101108059954560 is 65459950801101.

It is a happy number.

101108059954560 is a `hidden beast` number, since 1 + 0 + 1 + 1 + 0 + 8 + 0 + 5 + 99 + 545 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 101108059954497 and 101108059954506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 10071522021 + ... + 10071532059.

It is an arithmetic number, because the mean of its divisors is an integer number (588837807360).

Almost surely, 2^{101108059954560} is an apocalyptic number.

101108059954560 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 101108059954560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188428098355200).

101108059954560 is an abundant number, since it is smaller than the sum of its proper divisors (275748136755840).

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

101108059954560 is a wasteful number, since it uses less digits than its factorization.

101108059954560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18540 (or 18519 counting only the distinct ones).

The product of its (nonzero) digits is 1944000, while the sum is 54.

The spelling of 101108059954560 in words is "one hundred one trillion, one hundred eight billion, fifty-nine million, nine hundred fifty-four thousand, five hundred sixty".