106309465609480 has 64 divisors (see below), whose sum is σ = 273828187923840. Its totient is φ = 36387494218752.

The previous prime is 106309465609447. The next prime is 106309465609481. The reversal of 106309465609480 is 84906564903601.

It is a super-2 number, since 2×106309465609480² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106309465609481) by changing a digit.

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, 319966054 + ... + 320298133.

It is an arithmetic number, because the mean of its divisors is an integer number (4278565436310).

Almost surely, 2^{106309465609480} is an apocalyptic number.

106309465609480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106309465609480 is an abundant number, since it is smaller than the sum of its proper divisors (167518722314360).

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

106309465609480 is a wasteful number, since it uses less digits than its factorization.

106309465609480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 640264798 (or 640264794 counting only the distinct ones).

The product of its (nonzero) digits is 33592320, while the sum is 61.

The spelling of 106309465609480 in words is "one hundred six trillion, three hundred nine billion, four hundred sixty-five million, six hundred nine thousand, four hundred eighty".