106051350320 has 40 divisors (see below), whose sum is σ = 246598152720. Its totient is φ = 42415591680.

The previous prime is 106051350263. The next prime is 106051350329. The reversal of 106051350320 is 23053150601.

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

It is a super-2 number, since 2×106051350320² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106051350320.

It is not an unprimeable number, because it can be changed into a prime (106051350329) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 655955 + ... + 801485.

It is an arithmetic number, because the mean of its divisors is an integer number (6164953818).

Almost surely, 2^106051350320 is an apocalyptic number.

106051350320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106051350320 is an abundant number, since it is smaller than the sum of its proper divisors (140546802400).

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

106051350320 is a wasteful number, since it uses less digits than its factorization.

106051350320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154653 (or 154647 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 26.

The spelling of 106051350320 in words is "one hundred six billion, fifty-one million, three hundred fifty thousand, three hundred twenty".