106107343542140 has 48 divisors (see below), whose sum is σ = 223695700486272. Its totient is φ = 42277174788096.

The previous prime is 106107343542119. The next prime is 106107343542157. The reversal of 106107343542140 is 41245343701601.

It is a super-2 number, since 2×106107343542140² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

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, 547534142 + ... + 547727898.

It is an arithmetic number, because the mean of its divisors is an integer number (4660327093464).

Almost surely, 2^{106107343542140} is an apocalyptic number.

106107343542140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106107343542140 is an abundant number, since it is smaller than the sum of its proper divisors (117588356944132).

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

106107343542140 is a wasteful number, since it uses less digits than its factorization.

106107343542140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300566 (or 300564 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 41.

The spelling of 106107343542140 in words is "one hundred six trillion, one hundred seven billion, three hundred forty-three million, five hundred forty-two thousand, one hundred forty".