106084394496 has 320 divisors, whose sum is σ = 338640825600. Its totient is φ = 32679936000.

The previous prime is 106084394453. The next prime is 106084394503. The reversal of 106084394496 is 694493480601.

It is a happy number.

106084394496 is a `hidden beast` number, since 1 + 0 + 60 + 8 + 4 + 3 + 94 + 496 = 666.

It is a super-2 number, since 2×106084394496² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10763971 + ... + 10773821.

It is an arithmetic number, because the mean of its divisors is an integer number (1058252580).

Almost surely, 2^106084394496 is an apocalyptic number.

106084394496 is a gapful number since it is divisible by the number (16) 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 106084394496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169320412800).

106084394496 is an abundant number, since it is smaller than the sum of its proper divisors (232556431104).

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

106084394496 is an equidigital number, since it uses as much as digits as its factorization.

106084394496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9938 (or 9916 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 106084394496 in words is "one hundred six billion, eighty-four million, three hundred ninety-four thousand, four hundred ninety-six".