106146061201444 has 96 divisors (see below), whose sum is σ = 214167293706240. Its totient is φ = 45524920464000.

The previous prime is 106146061201417. The next prime is 106146061201451. The reversal of 106146061201444 is 444102160641601.

It is a super-2 number, since 2×106146061201444² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106146061201397 and 106146061201406.

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, 304854819 + ... + 305202805.

It is an arithmetic number, because the mean of its divisors is an integer number (2230909309440).

Almost surely, 2^{106146061201444} is an apocalyptic number.

It is an amenable number.

106146061201444 is an abundant number, since it is smaller than the sum of its proper divisors (108021232504796).

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

106146061201444 is a wasteful number, since it uses less digits than its factorization.

106146061201444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349489 (or 349487 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 40.

The spelling of 106146061201444 in words is "one hundred six trillion, one hundred forty-six billion, sixty-one million, two hundred one thousand, four hundred forty-four".