106379784001 has 8 divisors (see below), whose sum is σ = 112809922344. Its totient is φ = 99968812800.

The previous prime is 106379783969. The next prime is 106379784037. The reversal of 106379784001 is 100487973601.

It can be written as a sum of positive squares in 4 ways, for example, as 21264638976 + 85115145025 = 145824^2 + 291745^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 106379784001 - 2⁵ = 106379783969 is a prime.

It is a super-2 number, since 2×106379784001² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (106379787001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4780350 + ... + 4802551.

It is an arithmetic number, because the mean of its divisors is an integer number (14101240293).

Almost surely, 2^106379784001 is an apocalyptic number.

It is an amenable number.

106379784001 is a deficient number, since it is larger than the sum of its proper divisors (6430138343).

106379784001 is an equidigital number, since it uses as much as digits as its factorization.

106379784001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9583571.

The product of its (nonzero) digits is 254016, while the sum is 46.

The spelling of 106379784001 in words is "one hundred six billion, three hundred seventy-nine million, seven hundred eighty-four thousand, one".