106505124 has 24 divisors (see below), whose sum is σ = 271104288. Its totient is φ = 32274240.

The previous prime is 106505117. The next prime is 106505131. The reversal of 106505124 is 421505601.

It is an interprime number because it is at equal distance from previous prime (106505117) and next prime (106505131).

It is a super-2 number, since 2×106505124² = 22686682876510752, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106505094 and 106505103.

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, 403297 + ... + 403560.

It is an arithmetic number, because the mean of its divisors is an integer number (11296012).

Almost surely, 2^106505124 is an apocalyptic number.

It is an amenable number.

106505124 is an abundant number, since it is smaller than the sum of its proper divisors (164599164).

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

106505124 is a wasteful number, since it uses less digits than its factorization.

106505124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 806875 (or 806873 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 106505124 is about 10320.1319759003. The cubic root of 106505124 is about 474.0129071242.

The spelling of 106505124 in words is "one hundred six million, five hundred five thousand, one hundred twenty-four".