105011676541800 has 768 divisors, whose sum is σ = 423171986688000. Its totient is φ = 23434534932480.

The previous prime is 105011676541777. The next prime is 105011676541817. The reversal of 105011676541800 is 8145676110501.

105011676541800 is a `hidden beast` number, since 1 + 0 + 50 + 116 + 76 + 5 + 418 + 0 + 0 = 666.

It is a super-2 number, since 2×105011676541800² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4240656219 + ... + 4240680981.

It is an arithmetic number, because the mean of its divisors is an integer number (551005191000).

Almost surely, 2^{105011676541800} is an apocalyptic number.

105011676541800 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 105011676541800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211585993344000).

105011676541800 is an abundant number, since it is smaller than the sum of its proper divisors (318160310146200).

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

105011676541800 is a wasteful number, since it uses less digits than its factorization.

105011676541800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27447 (or 27432 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 45.

The spelling of 105011676541800 in words is "one hundred five trillion, eleven billion, six hundred seventy-six million, five hundred forty-one thousand, eight hundred".