105211112501052 has 288 divisors, whose sum is σ = 286170570766080. Its totient is φ = 32528679321600.

The previous prime is 105211112500951. The next prime is 105211112501057. The reversal of 105211112501052 is 250105211112501.

105211112501052 is a `hidden beast` number, since 1 + 0 + 521 + 1 + 1 + 125 + 0 + 10 + 5 + 2 = 666.

It is a super-2 number, since 2×105211112501052² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105211112501057) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1933965052 + ... + 1934019452.

It is an arithmetic number, because the mean of its divisors is an integer number (993647815160).

Almost surely, 2^{105211112501052} is an apocalyptic number.

105211112501052 is a gapful number since it is divisible by the number (12) 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 105211112501052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143085285383040).

105211112501052 is an abundant number, since it is smaller than the sum of its proper divisors (180959458265028).

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

105211112501052 is a wasteful number, since it uses less digits than its factorization.

105211112501052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55193 (or 55188 counting only the distinct ones).

The product of its (nonzero) digits is 1000, while the sum is 27.

Adding to 105211112501052 its reverse (250105211112501), we get a palindrome (355316323613553).

The spelling of 105211112501052 in words is "one hundred five trillion, two hundred eleven billion, one hundred twelve million, five hundred one thousand, fifty-two".