107264001152 has 288 divisors, whose sum is σ = 283575524400. Its totient is φ = 39960560640.

The previous prime is 107264001149. The next prime is 107264001157. The reversal of 107264001152 is 251100462701.

It is not an unprimeable number, because it can be changed into a prime (107264001157) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 36495299 + ... + 36498237.

Almost surely, 2^107264001152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107264001152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141787762200).

107264001152 is an abundant number, since it is smaller than the sum of its proper divisors (176311523248).

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

107264001152 is a wasteful number, since it uses less digits than its factorization.

107264001152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3024 (or 2982 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 29.

Adding to 107264001152 its reverse (251100462701), we get a palindrome (358364463853).

The spelling of 107264001152 in words is "one hundred seven billion, two hundred sixty-four million, one thousand, one hundred fifty-two".