105501010005630 has 96 divisors (see below), whose sum is σ = 275788957137408. Its totient is φ = 27981212083200.

The previous prime is 105501010005607. The next prime is 105501010005659. The reversal of 105501010005630 is 36500010105501.

105501010005630 is a `hidden beast` number, since 1 + 0 + 5 + 5 + 0 + 10 + 10 + 0 + 0 + 5 + 630 = 666.

It is a super-2 number, since 2×105501010005630² (a number of 29 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 105501010005594 and 105501010005603.

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, 94350172 + ... + 95461808.

It is an arithmetic number, because the mean of its divisors is an integer number (2872801636848).

Almost surely, 2^{105501010005630} is an apocalyptic number.

105501010005630 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 105501010005630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137894478568704).

105501010005630 is an abundant number, since it is smaller than the sum of its proper divisors (170287947131778).

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

105501010005630 is a wasteful number, since it uses less digits than its factorization.

105501010005630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1117362 (or 1117359 counting only the distinct ones).

The product of its (nonzero) digits is 2250, while the sum is 27.

The spelling of 105501010005630 in words is "one hundred five trillion, five hundred one billion, ten million, five thousand, six hundred thirty".