106410144 has 48 divisors (see below), whose sum is σ = 291477312. Its totient is φ = 33927168.

The previous prime is 106410133. The next prime is 106410151. The reversal of 106410144 is 441014601.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×106410144² = 22646237492201472, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106410144.

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, 21889 + ... + 26304.

It is an arithmetic number, because the mean of its divisors is an integer number (6072444).

Almost surely, 2^106410144 is an apocalyptic number.

It is an amenable number.

106410144 is an abundant number, since it is smaller than the sum of its proper divisors (185067168).

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

106410144 is a wasteful number, since it uses less digits than its factorization.

106410144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48229 (or 48221 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 106410144 is about 10315.5292641725. The cubic root of 106410144 is about 473.8719588638.

Adding to 106410144 its reverse (441014601), we get a palindrome (547424745).

The spelling of 106410144 in words is "one hundred six million, four hundred ten thousand, one hundred forty-four".