1135106016 has 96 divisors (see below), whose sum is σ = 3258517248. Its totient is φ = 343127040.

The previous prime is 1135106003. The next prime is 1135106059. The reversal of 1135106016 is 6106015311.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 530100 + ... + 532236.

It is an arithmetic number, because the mean of its divisors is an integer number (33942888).

Almost surely, 2^1135106016 is an apocalyptic number.

1135106016 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 1135106016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1629258624).

1135106016 is an abundant number, since it is smaller than the sum of its proper divisors (2123411232).

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

1135106016 is a wasteful number, since it uses less digits than its factorization.

1135106016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2664 (or 2656 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 24.

The square root of 1135106016 is about 33691.3344348365. The cubic root of 1135106016 is about 1043.1469080932.

The spelling of 1135106016 in words is "one billion, one hundred thirty-five million, one hundred six thousand, sixteen".