105022151540145 has 72 divisors (see below), whose sum is σ = 211762471804416. Its totient is φ = 48009328057152.

The previous prime is 105022151540081. The next prime is 105022151540149. The reversal of 105022151540145 is 541045151220501.

105022151540145 is a `hidden beast` number, since 1 + 0 + 5 + 0 + 2 + 21 + 51 + 540 + 1 + 45 = 666.

It is not a de Polignac number, because 105022151540145 - 2⁶ = 105022151540081 is a prime.

It is a super-2 number, since 2×105022151540145² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105022151540149) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 144203184 + ... + 144929646.

It is an arithmetic number, because the mean of its divisors is an integer number (2941145441728).

Almost surely, 2^{105022151540145} is an apocalyptic number.

105022151540145 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105022151540145 is an abundant number, since it is smaller than the sum of its proper divisors (106740320264271).

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

105022151540145 is a wasteful number, since it uses less digits than its factorization.

105022151540145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 792051 (or 792041 counting only the distinct ones).

The product of its (nonzero) digits is 40000, while the sum is 36.

The spelling of 105022151540145 in words is "one hundred five trillion, twenty-two billion, one hundred fifty-one million, five hundred forty thousand, one hundred forty-five".