105101055252 has 120 divisors (see below), whose sum is σ = 282139813032. Its totient is φ = 34096204800.

The previous prime is 105101055233. The next prime is 105101055299. The reversal of 105101055252 is 252550101501.

105101055252 is a `hidden beast` number, since 1 + 0 + 5 + 101 + 0 + 552 + 5 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1716942096 + 103384113156 = 41436^2 + 321534^2 .

It is a super-2 number, since 2×105101055252² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5583168 + ... + 5601960.

Almost surely, 2^105101055252 is an apocalyptic number.

105101055252 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 105101055252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141069906516).

105101055252 is an abundant number, since it is smaller than the sum of its proper divisors (177038757780).

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

105101055252 is a wasteful number, since it uses less digits than its factorization.

105101055252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19271 (or 19260 counting only the distinct ones).

The product of its (nonzero) digits is 2500, while the sum is 27.

Adding to 105101055252 its reverse (252550101501), we get a palindrome (357651156753).

The spelling of 105101055252 in words is "one hundred five billion, one hundred one million, fifty-five thousand, two hundred fifty-two".