106141000000 has 392 divisors, whose sum is σ = 307177318080. Its totient is φ = 35635200000.

The previous prime is 106140999929. The next prime is 106141000013. The reversal of 106141000000 is 141601.

It is a super-2 number, since 2×106141000000² (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 (17) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 412999872 + ... + 413000128.

Almost surely, 2^106141000000 is an apocalyptic number.

106141000000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106141000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153588659040).

106141000000 is an abundant number, since it is smaller than the sum of its proper divisors (201036318080).

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

106141000000 is an frugal number, since it uses more digits than its factorization.

106141000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 106141000000 its reverse (141601), we get a palindrome (106141141601).

The spelling of 106141000000 in words is "one hundred six billion, one hundred forty-one million", and thus it is an aban number.