105121155600 has 360 divisors, whose sum is σ = 386037697760. Its totient is φ = 26416005120.

The previous prime is 105121155599. The next prime is 105121155611. The reversal of 105121155600 is 6551121501.

105121155600 is a `hidden beast` number, since 1 + 0 + 5 + 1 + 2 + 1 + 1 + 55 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×105121155600² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 13197219 + ... + 13205181.

Almost surely, 2^105121155600 is an apocalyptic number.

105121155600 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 105121155600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193018848880).

105121155600 is an abundant number, since it is smaller than the sum of its proper divisors (280916542160).

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

105121155600 is a wasteful number, since it uses less digits than its factorization.

105121155600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8199 (or 8185 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 27.

The spelling of 105121155600 in words is "one hundred five billion, one hundred twenty-one million, one hundred fifty-five thousand, six hundred".