1106550016 has 144 divisors (see below), whose sum is σ = 2624888448. Its totient is φ = 458956800.

The previous prime is 1106550001. The next prime is 1106550031. The reversal of 1106550016 is 6100556011.

It is an interprime number because it is at equal distance from previous prime (1106550001) and next prime (1106550031).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6113446 + ... + 6113626.

It is an arithmetic number, because the mean of its divisors is an integer number (18228392).

Almost surely, 2^1106550016 is an apocalyptic number.

1106550016 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 1106550016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1312444224).

1106550016 is an abundant number, since it is smaller than the sum of its proper divisors (1518338432).

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

1106550016 is a wasteful number, since it uses less digits than its factorization.

1106550016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388 (or 374 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 25.

The square root of 1106550016 is about 33264.8465500744. The cubic root of 1106550016 is about 1034.3249866698.

The spelling of 1106550016 in words is "one billion, one hundred six million, five hundred fifty thousand, sixteen".