107243136000 has 2816 divisors, whose sum is σ = 549353226240. Its totient is φ = 19906560000.

The previous prime is 107243135977. The next prime is 107243136053. The reversal of 107243136000 is 631342701.

107243136000 is a `hidden beast` number, since 1 + 0 + 7 + 2 + 43 + 13 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2816).

It is a super-2 number, since 2×107243136000² (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 3459455985 + ... + 3459456015.

Almost surely, 2^107243136000 is an apocalyptic number.

107243136000 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 107243136000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274676613120).

107243136000 is an abundant number, since it is smaller than the sum of its proper divisors (442110090240).

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

107243136000 is a wasteful number, since it uses less digits than its factorization.

107243136000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

Adding to 107243136000 its reverse (631342701), we get a palindrome (107874478701).

The spelling of 107243136000 in words is "one hundred seven billion, two hundred forty-three million, one hundred thirty-six thousand".