105144141132 has 108 divisors (see below), whose sum is σ = 269478059760. Its totient is φ = 34566735744.

The previous prime is 105144141103. The next prime is 105144141169. The reversal of 105144141132 is 231141441501.

It is a happy number.

105144141132 is a `hidden beast` number, since 1 + 0 + 51 + 441 + 41 + 132 = 666.

It is a super-2 number, since 2×105144141132² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105144141096 and 105144141105.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 125320369 + ... + 125321207.

It is an arithmetic number, because the mean of its divisors is an integer number (2495167220).

Almost surely, 2^105144141132 is an apocalyptic number.

105144141132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105144141132 is an abundant number, since it is smaller than the sum of its proper divisors (164333918628).

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

105144141132 is a wasteful number, since it uses less digits than its factorization.

105144141132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1360 (or 1246 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

Adding to 105144141132 its reverse (231141441501), we get a palindrome (336285582633).

The spelling of 105144141132 in words is "one hundred five billion, one hundred forty-four million, one hundred forty-one thousand, one hundred thirty-two".