106157813686560 has 288 divisors, whose sum is σ = 394694021272320. Its totient is φ = 26643529396224.

The previous prime is 106157813686513. The next prime is 106157813686567. The reversal of 106157813686560 is 65686318751601.

It is a happy number.

106157813686560 is a `hidden beast` number, since 1 + 0 + 6 + 1 + 5 + 7 + 8 + 1 + 3 + 68 + 6 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×106157813686560² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106157813686567) 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 47 ways as a sum of consecutive naturals, for example, 41266344 + ... + 43763303.

It is an arithmetic number, because the mean of its divisors is an integer number (1370465351640).

Almost surely, 2^{106157813686560} is an apocalyptic number.

106157813686560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106157813686560 is an abundant number, since it is smaller than the sum of its proper divisors (288536207585760).

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

106157813686560 is a wasteful number, since it uses less digits than its factorization.

106157813686560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85029705 (or 85029674 counting only the distinct ones).

The product of its (nonzero) digits is 43545600, while the sum is 63.

The spelling of 106157813686560 in words is "one hundred six trillion, one hundred fifty-seven billion, eight hundred thirteen million, six hundred eighty-six thousand, five hundred sixty".