106058199120 has 320 divisors, whose sum is σ = 359248435200. Its totient is φ = 25780930560.

The previous prime is 106058199119. The next prime is 106058199131. The reversal of 106058199120 is 21991850601.

It is a super-2 number, since 2×106058199120² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 43770229 + ... + 43772651.

It is an arithmetic number, because the mean of its divisors is an integer number (1122651360).

Almost surely, 2^106058199120 is an apocalyptic number.

106058199120 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 106058199120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179624217600).

106058199120 is an abundant number, since it is smaller than the sum of its proper divisors (253190236080).

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

106058199120 is a wasteful number, since it uses less digits than its factorization.

106058199120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2818 (or 2812 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 42.

The spelling of 106058199120 in words is "one hundred six billion, fifty-eight million, one hundred ninety-nine thousand, one hundred twenty".