106058619072 has 168 divisors, whose sum is σ = 349927468800. Its totient is φ = 30084300288.

The previous prime is 106058619071. The next prime is 106058619091. The reversal of 106058619072 is 270916850601.

106058619072 is a `hidden beast` number, since 1 + 0 + 60 + 586 + 1 + 9 + 0 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×106058619072² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106058619071) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 465829 + ... + 655067.

It is an arithmetic number, because the mean of its divisors is an integer number (2082901600).

Almost surely, 2^106058619072 is an apocalyptic number.

106058619072 is a gapful number since it is divisible by the number (12) 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 106058619072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174963734400).

106058619072 is an abundant number, since it is smaller than the sum of its proper divisors (243868849728).

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

106058619072 is a wasteful number, since it uses less digits than its factorization.

106058619072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189403 (or 189390 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 106058619072 in words is "one hundred six billion, fifty-eight million, six hundred nineteen thousand, seventy-two".