107000952100 has 81 divisors (see below), whose sum is σ = 270158787507. Its totient is φ = 36678190080.

The previous prime is 107000952053. The next prime is 107000952151. The reversal of 107000952100 is 1259000701.

The square root of 107000952100 is 327110.

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

It can be written as a sum of positive squares in 4 ways, for example, as 19275990244 + 87724961856 = 138838^2 + 296184^2 .

It is a super-2 number, since 2×107000952100² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 22895364 + ... + 22900036.

Almost surely, 2^107000952100 is an apocalyptic number.

107000952100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

107000952100 is the 327110-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107000952100

107000952100 is an abundant number, since it is smaller than the sum of its proper divisors (163157835407).

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

107000952100 is an frugal number, since it uses more digits than its factorization.

107000952100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9374 (or 4687 counting only the distinct ones).

The product of its (nonzero) digits is 630, while the sum is 25.

Multiplying 107000952100 by its sum of digits (25), we get a square (2675023802500 = 1635550²).

107000952100 divided by its sum of digits (25) gives a square (4280038084 = 65422²).

Adding to 107000952100 its reverse (1259000701), we get a palindrome (108259952801).

The spelling of 107000952100 in words is "one hundred seven billion, nine hundred fifty-two thousand, one hundred".