105965146040 has 32 divisors (see below), whose sum is σ = 256761701280. Its totient is φ = 39125592192.

The previous prime is 105965146019. The next prime is 105965146093. The reversal of 105965146040 is 40641569501.

It is a super-2 number, since 2×105965146040² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 101889044 + ... + 101890083.

It is an arithmetic number, because the mean of its divisors is an integer number (8023803165).

Almost surely, 2^105965146040 is an apocalyptic number.

105965146040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105965146040 is an abundant number, since it is smaller than the sum of its proper divisors (150796555240).

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

105965146040 is a wasteful number, since it uses less digits than its factorization.

105965146040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203779151 (or 203779147 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 41.

The spelling of 105965146040 in words is "one hundred five billion, nine hundred sixty-five million, one hundred forty-six thousand, forty".