106712424 has 256 divisors, whose sum is σ = 374976000. Its totient is φ = 27371520.

The previous prime is 106712407. The next prime is 106712471. The reversal of 106712424 is 424217601.

106712424 = T₁₃₅ + T₁₃₆ + ... + T₈₆₂.

It is a super-2 number, since 2×106712424² = 22775082871911552, which contains 22 as substring.

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

It is an unprimeable number.

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, 1198972 + ... + 1199060.

It is an arithmetic number, because the mean of its divisors is an integer number (1464750).

Almost surely, 2^106712424 is an apocalyptic number.

106712424 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106712424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187488000).

106712424 is an abundant number, since it is smaller than the sum of its proper divisors (268263576).

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

106712424 is a wasteful number, since it uses less digits than its factorization.

106712424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 175 counting only the distinct ones).

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

The square root of 106712424 is about 10330.1705697438. The cubic root of 106712424 is about 474.3202450510.

The spelling of 106712424 in words is "one hundred six million, seven hundred twelve thousand, four hundred twenty-four".