107090286624 has 192 divisors, whose sum is σ = 318643839360. Its totient is φ = 35421235200.

The previous prime is 107090286623. The next prime is 107090286643. The reversal of 107090286624 is 426682090701.

It is a happy number.

107090286624 is a `hidden beast` number, since 10 + 7 + 0 + 9 + 0 + 2 + 8 + 6 + 624 = 666.

It is a super-2 number, since 2×107090286624² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 107090286624.

It is not an unprimeable number, because it can be changed into a prime (107090286623) 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, 9162064 + ... + 9173744.

It is an arithmetic number, because the mean of its divisors is an integer number (1659603330).

Almost surely, 2^107090286624 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 107090286624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159321919680).

107090286624 is an abundant number, since it is smaller than the sum of its proper divisors (211553552736).

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

107090286624 is an equidigital number, since it uses as much as digits as its factorization.

107090286624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11843 (or 11817 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 107090286624 in words is "one hundred seven billion, ninety million, two hundred eighty-six thousand, six hundred twenty-four".