961105152 has 288 divisors, whose sum is σ = 3097722880. Its totient is φ = 258785280.

The previous prime is 961105129. The next prime is 961105157. The reversal of 961105152 is 251501169.

It is a super-2 number, since 2×961105152² = 1847446226401886208, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (961105157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12165849 + ... + 12165927.

Almost surely, 2^961105152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 961105152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1548861440).

961105152 is an abundant number, since it is smaller than the sum of its proper divisors (2136617728).

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

961105152 is a wasteful number, since it uses less digits than its factorization.

961105152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 30.

The square root of 961105152 is about 31001.6959536087. The cubic root of 961105152 is about 986.8632316759.

The spelling of 961105152 in words is "nine hundred sixty-one million, one hundred five thousand, one hundred fifty-two".