106338570 has 128 divisors (see below), whose sum is σ = 298577664. Its totient is φ = 23998464.

The previous prime is 106338559. The next prime is 106338571. The reversal of 106338570 is 75833601.

It is a happy number.

It is a super-2 number, since 2×106338570² = 22615782939289800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106338571) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 284904 + ... + 285276.

It is an arithmetic number, because the mean of its divisors is an integer number (2332638).

Almost surely, 2^106338570 is an apocalyptic number.

106338570 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 106338570, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149288832).

106338570 is an abundant number, since it is smaller than the sum of its proper divisors (192239094).

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

106338570 is a wasteful number, since it uses less digits than its factorization.

106338570 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 456.

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 106338570 is about 10312.0594451351. The cubic root of 106338570 is about 473.7656891744.

It can be divided in two parts, 10 and 6338570, that added together give a triangular number (6338580 = T₃₅₆₀).

The spelling of 106338570 in words is "one hundred six million, three hundred thirty-eight thousand, five hundred seventy".