107235043213000 has 128 divisors (see below), whose sum is σ = 253199140945920. Its totient is φ = 42506913657600.

The previous prime is 107235043212967. The next prime is 107235043213007. The reversal of 107235043213000 is 312340532701.

It is a super-2 number, since 2×107235043213000² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (107235043213007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 109111794 + ... + 110090206.

It is an arithmetic number, because the mean of its divisors is an integer number (1978118288640).

Almost surely, 2^{107235043213000} is an apocalyptic number.

107235043213000 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 107235043213000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126599570472960).

107235043213000 is an abundant number, since it is smaller than the sum of its proper divisors (145964097732920).

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

107235043213000 is a wasteful number, since it uses less digits than its factorization.

107235043213000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 979424 (or 979410 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 31.

Adding to 107235043213000 its reverse (312340532701), we get a palindrome (107547383745701).

The spelling of 107235043213000 in words is "one hundred seven trillion, two hundred thirty-five billion, forty-three million, two hundred thirteen thousand".