105974960 has 80 divisors (see below), whose sum is σ = 303272256. Its totient is φ = 33537024.

The previous prime is 105974959. The next prime is 105974977. The reversal of 105974960 is 69479501.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×105974960² = 22461384294003200, which contains 22 as substring.

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, 2 + ... + 14558.

Almost surely, 2^105974960 is an apocalyptic number.

105974960 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 105974960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151636128).

105974960 is an abundant number, since it is smaller than the sum of its proper divisors (197297296).

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

105974960 is a wasteful number, since it uses less digits than its factorization.

105974960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14590 (or 14584 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 41.

The square root of 105974960 is about 10294.4140192631. The cubic root of 105974960 is about 473.2250804922.

The spelling of 105974960 in words is "one hundred five million, nine hundred seventy-four thousand, nine hundred sixty".