1102954109328 has 120 divisors (see below), whose sum is σ = 3113020238328. Its totient is φ = 364533958656.

The previous prime is 1102954109311. The next prime is 1102954109357. The reversal of 1102954109328 is 8239014592011.

1102954109328 is a `hidden beast` number, since 1 + 10 + 2 + 9 + 541 + 0 + 93 + 2 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 374676203664 + 728277905664 = 612108^2 + 853392^2 .

It is a super-2 number, since 2×1102954109328² (a number of 25 digits) contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 8245476 + ... + 8378172.

Almost surely, 2^{1102954109328} is an apocalyptic number.

1102954109328 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 1102954109328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1556510119164).

1102954109328 is an abundant number, since it is smaller than the sum of its proper divisors (2010066129000).

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

1102954109328 is a wasteful number, since it uses less digits than its factorization.

1102954109328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133201 (or 133192 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 1102954109328 in words is "one trillion, one hundred two billion, nine hundred fifty-four million, one hundred nine thousand, three hundred twenty-eight".