106721196300 has 108 divisors (see below), whose sum is σ = 343143462760. Its totient is φ = 28454459040.

The previous prime is 106721196271. The next prime is 106721196377. The reversal of 106721196300 is 3691127601.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

106721196300 is a `hidden beast` number, since 1 + 0 + 6 + 7 + 2 + 1 + 19 + 630 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (108).

It is a super-2 number, since 2×106721196300² (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 16971757 + ... + 16978043.

Almost surely, 2^106721196300 is an apocalyptic number.

106721196300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106721196300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171571731380).

106721196300 is an abundant number, since it is smaller than the sum of its proper divisors (236422266460).

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

106721196300 is an frugal number, since it uses more digits than its factorization.

106721196300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12597 (or 6297 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The spelling of 106721196300 in words is "one hundred six billion, seven hundred twenty-one million, one hundred ninety-six thousand, three hundred".