10107698289120 has 288 divisors, whose sum is σ = 37479142471680. Its totient is φ = 2471151836160.

The previous prime is 10107698289113. The next prime is 10107698289167. The reversal of 10107698289120 is 2198289670101.

It is a happy number.

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

It is a super-2 number, since 2×10107698289120² (a number of 27 digits) contains 22 as substring.

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, 5110444 + ... + 6806763.

It is an arithmetic number, because the mean of its divisors is an integer number (130135911360).

Almost surely, 2^{10107698289120} is an apocalyptic number.

10107698289120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10107698289120 is an abundant number, since it is smaller than the sum of its proper divisors (27371444182560).

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

10107698289120 is a wasteful number, since it uses less digits than its factorization.

10107698289120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11917278 (or 11917267 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 54.

The spelling of 10107698289120 in words is "ten trillion, one hundred seven billion, six hundred ninety-eight million, two hundred eighty-nine thousand, one hundred twenty".