107291266560 has 480 divisors, whose sum is σ = 388005666048. Its totient is φ = 27373731840.

The previous prime is 107291266559. The next prime is 107291266619. The reversal of 107291266560 is 65662192701.

107291266560 is a `hidden beast` number, since 1 + 0 + 7 + 29 + 1 + 2 + 66 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×107291266560² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 50064849 + ... + 50066991.

Almost surely, 2^107291266560 is an apocalyptic number.

107291266560 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 107291266560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194002833024).

107291266560 is an abundant number, since it is smaller than the sum of its proper divisors (280714399488).

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

107291266560 is a wasteful number, since it uses less digits than its factorization.

107291266560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2266 (or 2247 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 107291266560 in words is "one hundred seven billion, two hundred ninety-one million, two hundred sixty-six thousand, five hundred sixty".