106936281430320 has 80 divisors (see below), whose sum is σ = 331534945262592. Its totient is φ = 28513548353280.

The previous prime is 106936281430313. The next prime is 106936281430331. The reversal of 106936281430320 is 23034182639601.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×106936281430320² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 106936281430320.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19367392 + ... + 24268671.

Almost surely, 2^{106936281430320} is an apocalyptic number.

106936281430320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106936281430320 is an abundant number, since it is smaller than the sum of its proper divisors (224598663832272).

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

106936281430320 is a wasteful number, since it uses less digits than its factorization.

106936281430320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43646290 (or 43646284 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 48.

The spelling of 106936281430320 in words is "one hundred six trillion, nine hundred thirty-six billion, two hundred eighty-one million, four hundred thirty thousand, three hundred twenty".