106306905240 has 96 divisors (see below), whose sum is σ = 347785682400. Its totient is φ = 28160755200.

The previous prime is 106306905233. The next prime is 106306905241. The reversal of 106306905240 is 42509603601.

It is a happy number.

106306905240 is a `hidden beast` number, since 10 + 6 + 30 + 6 + 90 + 524 + 0 = 666.

It is a super-3 number, since 3×106306905240³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 106306905195 and 106306905204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106306905241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 923445 + ... + 1032164.

It is an arithmetic number, because the mean of its divisors is an integer number (3622767525).

Almost surely, 2^106306905240 is an apocalyptic number.

106306905240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106306905240 is an abundant number, since it is smaller than the sum of its proper divisors (241478777160).

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

106306905240 is a wasteful number, since it uses less digits than its factorization.

106306905240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1955777 (or 1955770 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 106306905240 in words is "one hundred six billion, three hundred six million, nine hundred five thousand, two hundred forty".