106242140305 has 192 divisors, whose sum is σ = 171211656960. Its totient is φ = 62677794816.

The previous prime is 106242140299. The next prime is 106242140311. The reversal of 106242140305 is 503041242601.

It is an interprime number because it is at equal distance from previous prime (106242140299) and next prime (106242140311).

It is not a de Polignac number, because 106242140305 - 2³ = 106242140297 is a prime.

It is a super-2 number, since 2×106242140305² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 306173142 + ... + 306173488.

It is an arithmetic number, because the mean of its divisors is an integer number (891727380).

Almost surely, 2^106242140305 is an apocalyptic number.

It is an amenable number.

106242140305 is a deficient number, since it is larger than the sum of its proper divisors (64969516655).

106242140305 is a wasteful number, since it uses less digits than its factorization.

106242140305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 528 (or 521 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

Adding to 106242140305 its reverse (503041242601), we get a palindrome (609283382906).

The spelling of 106242140305 in words is "one hundred six billion, two hundred forty-two million, one hundred forty thousand, three hundred five".