105332702500 has 45 divisors (see below), whose sum is σ = 230377045591. Its totient is φ = 42126590000.

The previous prime is 105332702483. The next prime is 105332702507. The reversal of 105332702500 is 5207233501.

The square root of 105332702500 is 324550.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 8258083876 + 97074618624 = 90874^2 + 311568^2 .

It is a super-2 number, since 2×105332702500² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105332702507) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 16224255 + ... + 16230745.

Almost surely, 2^105332702500 is an apocalyptic number.

105332702500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105332702500 is the 324550-th square number.

It is an amenable number.

105332702500 is an abundant number, since it is smaller than the sum of its proper divisors (125044343091).

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

105332702500 is an frugal number, since it uses more digits than its factorization.

105332702500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13006 (or 6498 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 28.

The spelling of 105332702500 in words is "one hundred five billion, three hundred thirty-two million, seven hundred two thousand, five hundred".