1107297003168 has 144 divisors (see below), whose sum is σ = 3203822270376. Its totient is φ = 362670981120.

The previous prime is 1107297003157. The next prime is 1107297003173. The reversal of 1107297003168 is 8613007927011.

It can be written as a sum of positive squares in 4 ways, for example, as 770511772944 + 336785230224 = 877788^2 + 580332^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×1107297003168² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17131680 + ... + 17196192.

Almost surely, 2^{1107297003168} is an apocalyptic number.

1107297003168 is a gapful number since it is divisible by the number (18) 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 1107297003168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1601911135188).

1107297003168 is an abundant number, since it is smaller than the sum of its proper divisors (2096525267208).

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

1107297003168 is a wasteful number, since it uses less digits than its factorization.

1107297003168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65567 (or 65556 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 45.

The spelling of 1107297003168 in words is "one trillion, one hundred seven billion, two hundred ninety-seven million, three thousand, one hundred sixty-eight".