961015104 has 280 divisors, whose sum is σ = 3310420608. Its totient is φ = 269982720.

The previous prime is 961015093. The next prime is 961015241. The reversal of 961015104 is 401510169.

961015104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×961015104² = 1847100060232261632, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2576262 + ... + 2576634.

Almost surely, 2^961015104 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 961015104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1655210304).

961015104 is an abundant number, since it is smaller than the sum of its proper divisors (2349405504).

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

961015104 is a wasteful number, since it uses less digits than its factorization.

961015104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 475 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The square root of 961015104 is about 31000.2436119460. The cubic root of 961015104 is about 986.8324102701.

The spelling of 961015104 in words is "nine hundred sixty-one million, fifteen thousand, one hundred four".