106379179200 has 1344 divisors, whose sum is σ = 463641277440. Its totient is φ = 23514624000.

The previous prime is 106379179189. The next prime is 106379179213. The reversal of 106379179200 is 2971973601.

106379179200 is a `hidden beast` number, since 1 + 0 + 6 + 379 + 1 + 79 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×106379179200² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1053259150 + ... + 1053259250.

Almost surely, 2^106379179200 is an apocalyptic number.

106379179200 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 106379179200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231820638720).

106379179200 is an abundant number, since it is smaller than the sum of its proper divisors (357262098240).

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

106379179200 is an equidigital number, since it uses as much as digits as its factorization.

106379179200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 142884, while the sum is 45.

The spelling of 106379179200 in words is "one hundred six billion, three hundred seventy-nine million, one hundred seventy-nine thousand, two hundred".