107100306000 has 1120 divisors, whose sum is σ = 428145588000. Its totient is φ = 25778995200.

The previous prime is 107100305947. The next prime is 107100306041. The reversal of 107100306000 is 603001701.

It can be written as a sum of positive squares in 16 ways, for example, as 81170289216 + 25930016784 = 284904^2 + 161028^2 .

It is a super-2 number, since 2×107100306000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 718793926 + ... + 718794074.

Almost surely, 2^107100306000 is an apocalyptic number.

107100306000 is a gapful number since it is divisible by the number (10) 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 107100306000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214072794000).

107100306000 is an abundant number, since it is smaller than the sum of its proper divisors (321045282000).

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

107100306000 is a wasteful number, since it uses less digits than its factorization.

107100306000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 18.

Adding to 107100306000 its reverse (603001701), we get a palindrome (107703307701).

The spelling of 107100306000 in words is "one hundred seven billion, one hundred million, three hundred six thousand".