1107035145216 has 2112 divisors, whose sum is σ = 4577943552000. Its totient is φ = 253609574400.

The previous prime is 1107035145169. The next prime is 1107035145239. The reversal of 1107035145216 is 6125415307011.

1107035145216 is a `hidden beast` number, since 1 + 10 + 70 + 3 + 51 + 4 + 521 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (2112).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 14013103065 + ... + 14013103143.

Almost surely, 2^{1107035145216} is an apocalyptic number.

1107035145216 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 1107035145216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2288971776000).

1107035145216 is an abundant number, since it is smaller than the sum of its proper divisors (3470908406784).

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

1107035145216 is a wasteful number, since it uses less digits than its factorization.

1107035145216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The spelling of 1107035145216 in words is "one trillion, one hundred seven billion, thirty-five million, one hundred forty-five thousand, two hundred sixteen".