106406141340 has 48 divisors (see below), whose sum is σ = 305203963680. Its totient is φ = 27682897920.

The previous prime is 106406141327. The next prime is 106406141417. The reversal of 106406141340 is 43141604601.

It is a super-2 number, since 2×106406141340² (a number of 23 digits) contains 22 as substring.

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 = 106406141298 and 106406141307.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21624805 + ... + 21629724.

It is an arithmetic number, because the mean of its divisors is an integer number (6358415910).

Almost surely, 2^106406141340 is an apocalyptic number.

106406141340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106406141340 is an abundant number, since it is smaller than the sum of its proper divisors (198797822340).

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

106406141340 is a wasteful number, since it uses less digits than its factorization.

106406141340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43254582 (or 43254580 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

Adding to 106406141340 its reverse (43141604601), we get a palindrome (149547745941).

The spelling of 106406141340 in words is "one hundred six billion, four hundred six million, one hundred forty-one thousand, three hundred forty".