105064960 has 320 divisors, whose sum is σ = 346477824. Its totient is φ = 29491200.

The previous prime is 105064951. The next prime is 105064961. The reversal of 105064960 is 69460501.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×105064960² = 22077291639603200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105064961) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2562540 + ... + 2562580.

Almost surely, 2^105064960 is an apocalyptic number.

105064960 is a gapful number since it is divisible by the number (10) 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 105064960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173238912).

105064960 is an abundant number, since it is smaller than the sum of its proper divisors (241412864).

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

105064960 is a wasteful number, since it uses less digits than its factorization.

105064960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 31.

The square root of 105064960 is about 10250.1199992976. The cubic root of 105064960 is about 471.8666673090.

The spelling of 105064960 in words is "one hundred five million, sixty-four thousand, nine hundred sixty".