105541564150 has 24 divisors (see below), whose sum is σ = 214153429464. Its totient is φ = 38378750400.

The previous prime is 105541564133. The next prime is 105541564237. The reversal of 105541564150 is 51465145501.

It is a super-2 number, since 2×105541564150² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 95946327 + ... + 95947426.

It is an arithmetic number, because the mean of its divisors is an integer number (8923059561).

Almost surely, 2^105541564150 is an apocalyptic number.

105541564150 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105541564150 is an abundant number, since it is smaller than the sum of its proper divisors (108611865314).

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

105541564150 is a wasteful number, since it uses less digits than its factorization.

105541564150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191893776 (or 191893771 counting only the distinct ones).

The product of its (nonzero) digits is 60000, while the sum is 37.

The spelling of 105541564150 in words is "one hundred five billion, five hundred forty-one million, five hundred sixty-four thousand, one hundred fifty".