105562132140 has 48 divisors (see below), whose sum is σ = 295646077440. Its totient is φ = 28143034560.

The previous prime is 105562132121. The next prime is 105562132153. The reversal of 105562132140 is 41231265501.

It is a super-3 number, since 3×105562132140³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 105562132098 and 105562132107.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35805 + ... + 460875.

It is an arithmetic number, because the mean of its divisors is an integer number (6159293280).

Almost surely, 2^105562132140 is an apocalyptic number.

105562132140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105562132140 is an abundant number, since it is smaller than the sum of its proper divisors (190083945300).

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

105562132140 is a wasteful number, since it uses less digits than its factorization.

105562132140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429222 (or 429220 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

Adding to 105562132140 its reverse (41231265501), we get a palindrome (146793397641).

The spelling of 105562132140 in words is "one hundred five billion, five hundred sixty-two million, one hundred thirty-two thousand, one hundred forty".