106005013140 has 96 divisors (see below), whose sum is σ = 321979392000. Its totient is φ = 25903051776.

The previous prime is 106005013133. The next prime is 106005013141. The reversal of 106005013140 is 41310500601.

It is a super-2 number, since 2×106005013140² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106005013141) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 389140 + ... + 602859.

It is an arithmetic number, because the mean of its divisors is an integer number (3353952000).

Almost surely, 2^106005013140 is an apocalyptic number.

106005013140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106005013140 is an abundant number, since it is smaller than the sum of its proper divisors (215974378860).

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

106005013140 is a wasteful number, since it uses less digits than its factorization.

106005013140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 992161 (or 992159 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

Adding to 106005013140 its reverse (41310500601), we get a palindrome (147315513741).

The spelling of 106005013140 in words is "one hundred six billion, five million, thirteen thousand, one hundred forty".