105195948 has 72 divisors (see below), whose sum is σ = 290606064. Its totient is φ = 29420160.

The previous prime is 105195941. The next prime is 105195971. The reversal of 105195948 is 849591501.

It is a super-2 number, since 2×105195948² = 22132374951237408, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105195941) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16090 + ... + 21662.

Almost surely, 2^105195948 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 105195948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145303032).

105195948 is an abundant number, since it is smaller than the sum of its proper divisors (185410116).

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

105195948 is a wasteful number, since it uses less digits than its factorization.

105195948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5615 (or 5602 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 42.

The square root of 105195948 is about 10256.5075927433. The cubic root of 105195948 is about 472.0626831909.

The spelling of 105195948 in words is "one hundred five million, one hundred ninety-five thousand, nine hundred forty-eight".