106415124 has 24 divisors (see below), whose sum is σ = 261371040. Its totient is φ = 33604704.

The previous prime is 106415081. The next prime is 106415137. The reversal of 106415124 is 421514601.

It is a happy number.

It is a super-2 number, since 2×106415124² = 22648357231870752, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106415094 and 106415103.

It is a congruent number.

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, 233139 + ... + 233594.

It is an arithmetic number, because the mean of its divisors is an integer number (10890460).

Almost surely, 2^106415124 is an apocalyptic number.

It is an amenable number.

106415124 is an abundant number, since it is smaller than the sum of its proper divisors (154955916).

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

106415124 is a wasteful number, since it uses less digits than its factorization.

106415124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 466759 (or 466757 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 106415124 is about 10315.7706449882. The cubic root of 106415124 is about 473.8793511589.

Adding to 106415124 its reverse (421514601), we get a palindrome (527929725).

The spelling of 106415124 in words is "one hundred six million, four hundred fifteen thousand, one hundred twenty-four".