105200365152 has 48 divisors (see below), whose sum is σ = 276169158720. Its totient is φ = 35064477312.

The previous prime is 105200365133. The next prime is 105200365169. The reversal of 105200365152 is 251563002501.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×105200365152² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2056299 + ... + 2106837.

It is an arithmetic number, because the mean of its divisors is an integer number (5753524140).

Almost surely, 2^105200365152 is an apocalyptic number.

105200365152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105200365152 is an abundant number, since it is smaller than the sum of its proper divisors (170968793568).

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

105200365152 is a wasteful number, since it uses less digits than its factorization.

105200365152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72235 (or 72227 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 30.

Adding to 105200365152 its reverse (251563002501), we get a palindrome (356763367653).

The spelling of 105200365152 in words is "one hundred five billion, two hundred million, three hundred sixty-five thousand, one hundred fifty-two".