106105830576 has 40 divisors (see below), whose sum is σ = 283558688880. Its totient is φ = 34149002496.

The previous prime is 106105830553. The next prime is 106105830601. The reversal of 106105830576 is 675038501601.

It is a super-2 number, since 2×106105830576² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38111335 + ... + 38114118.

It is an arithmetic number, because the mean of its divisors is an integer number (7088967222).

Almost surely, 2^106105830576 is an apocalyptic number.

106105830576 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

106105830576 is an abundant number, since it is smaller than the sum of its proper divisors (177452858304).

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

106105830576 is a wasteful number, since it uses less digits than its factorization.

106105830576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76225493 (or 76225487 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 42.

The spelling of 106105830576 in words is "one hundred six billion, one hundred five million, eight hundred thirty thousand, five hundred seventy-six".