106306219520 has 40 divisors (see below), whose sum is σ = 254885777784. Its totient is φ = 42522486784.

The previous prime is 106306219519. The next prime is 106306219541. The reversal of 106306219520 is 25912603601.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×106306219520² (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 (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 20760374 + ... + 20765493.

Almost surely, 2^106306219520 is an apocalyptic number.

106306219520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106306219520 is an abundant number, since it is smaller than the sum of its proper divisors (148579558264).

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

106306219520 is an frugal number, since it uses more digits than its factorization.

106306219520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41525890 (or 41525874 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 35.

The spelling of 106306219520 in words is "one hundred six billion, three hundred six million, two hundred nineteen thousand, five hundred twenty".