1107365901696 has 384 divisors, whose sum is σ = 3525208128000. Its totient is φ = 331879071744.

The previous prime is 1107365901689. The next prime is 1107365901709. The reversal of 1107365901696 is 6961095637011.

It is a happy number.

1107365901696 is a `hidden beast` number, since 1 + 1 + 0 + 7 + 36 + 590 + 16 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 651774255 + ... + 651775953.

It is an arithmetic number, because the mean of its divisors is an integer number (9180229500).

Almost surely, 2^{1107365901696} is an apocalyptic number.

1107365901696 is a gapful number since it is divisible by the number (16) 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 1107365901696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1762604064000).

1107365901696 is an abundant number, since it is smaller than the sum of its proper divisors (2417842226304).

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

1107365901696 is a wasteful number, since it uses less digits than its factorization.

1107365901696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3206 (or 3191 counting only the distinct ones).

The product of its (nonzero) digits is 1837080, while the sum is 54.

The spelling of 1107365901696 in words is "one trillion, one hundred seven billion, three hundred sixty-five million, nine hundred one thousand, six hundred ninety-six".