107852010240 has 288 divisors, whose sum is σ = 371528853696. Its totient is φ = 26506690560.

The previous prime is 107852010197. The next prime is 107852010241. The reversal of 107852010240 is 42010258701.

It is a super-2 number, since 2×107852010240² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 107852010198 and 107852010207.

It is not an unprimeable number, because it can be changed into a prime (107852010241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42780180 + ... + 42782700.

It is an arithmetic number, because the mean of its divisors is an integer number (1290030742).

Almost surely, 2^107852010240 is an apocalyptic number.

107852010240 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 107852010240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185764426848).

107852010240 is an abundant number, since it is smaller than the sum of its proper divisors (263676843456).

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

107852010240 is a wasteful number, since it uses less digits than its factorization.

107852010240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3415 (or 3401 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 30.

Adding to 107852010240 its reverse (42010258701), we get a palindrome (149862268941).

The spelling of 107852010240 in words is "one hundred seven billion, eight hundred fifty-two million, ten thousand, two hundred forty".