106042470 has 64 divisors (see below), whose sum is σ = 261031680. Its totient is φ = 27561600.

The previous prime is 106042463. The next prime is 106042471. The reversal of 106042470 is 74240601.

It is a super-2 number, since 2×106042470² = 22490010887401800, which contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 106042470.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106042471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 320205 + ... + 320535.

It is an arithmetic number, because the mean of its divisors is an integer number (4078620).

Almost surely, 2^106042470 is an apocalyptic number.

106042470 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 106042470, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130515840).

106042470 is an abundant number, since it is smaller than the sum of its proper divisors (154989210).

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

106042470 is a wasteful number, since it uses less digits than its factorization.

106042470 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 581.

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 106042470 is about 10297.6924599640. The cubic root of 106042470 is about 473.3255465007.

The spelling of 106042470 in words is "one hundred six million, forty-two thousand, four hundred seventy".