105121968 has 40 divisors (see below), whose sum is σ = 310361088. Its totient is φ = 30034752.

The previous prime is 105121967. The next prime is 105121969. The reversal of 105121968 is 869121501.

It is an interprime number because it is at equal distance from previous prime (105121967) and next prime (105121969).

It is a super-2 number, since 2×105121968² = 22101256312386048, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105121963) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 156096 + ... + 156767.

Almost surely, 2^105121968 is an apocalyptic number.

It is an amenable number.

105121968 is an abundant number, since it is smaller than the sum of its proper divisors (205239120).

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

105121968 is a wasteful number, since it uses less digits than its factorization.

105121968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312881 (or 312875 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 33.

The square root of 105121968 is about 10252.9004676726. The cubic root of 105121968 is about 471.9519964587.

The spelling of 105121968 in words is "one hundred five million, one hundred twenty-one thousand, nine hundred sixty-eight".