106411460 has 24 divisors (see below), whose sum is σ = 224894040. Its totient is φ = 42292224.

The previous prime is 106411429. The next prime is 106411493. The reversal of 106411460 is 64114601.

It can be written as a sum of positive squares in 4 ways, for example, as 24364096 + 82047364 = 4936^2 + 9058^2 .

It is a super-2 number, since 2×106411460² = 22646797638663200, which 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, 13805 + ... + 20084.

It is an arithmetic number, because the mean of its divisors is an integer number (9370585).

Almost surely, 2^106411460 is an apocalyptic number.

106411460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106411460 is an abundant number, since it is smaller than the sum of its proper divisors (118482580).

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

106411460 is a wasteful number, since it uses less digits than its factorization.

106411460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34055 (or 34053 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 106411460 is about 10315.5930512986. The cubic root of 106411460 is about 473.8739123522.

The spelling of 106411460 in words is "one hundred six million, four hundred eleven thousand, four hundred sixty".