106472124 has 192 divisors, whose sum is σ = 326592000. Its totient is φ = 29652480.

The previous prime is 106472123. The next prime is 106472161. The reversal of 106472124 is 421274601.

106472124 is a `hidden beast` number, since 1 + 0 + 647 + 2 + 12 + 4 = 666.

It is a super-2 number, since 2×106472124² = 22672626378142752, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106472123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1196272 + ... + 1196360.

It is an arithmetic number, because the mean of its divisors is an integer number (1701000).

Almost surely, 2^106472124 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106472124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163296000).

106472124 is an abundant number, since it is smaller than the sum of its proper divisors (220119876).

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

106472124 is a wasteful number, since it uses less digits than its factorization.

106472124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 106472124 is about 10318.5330352720. The cubic root of 106472124 is about 473.9639453428.

The spelling of 106472124 in words is "one hundred six million, four hundred seventy-two thousand, one hundred twenty-four".