106064010 has 96 divisors (see below), whose sum is σ = 298967760. Its totient is φ = 25933824.

The previous prime is 106063999. The next prime is 106064029. The reversal of 106064010 is 10460601.

106064010 is a `hidden beast` number, since 10 + 6 + 0 + 640 + 10 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1962801 + 104101209 = 1401^2 + 10203^2 .

It is a super-2 number, since 2×106064010² = 22499148434560200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 314562 + ... + 314898.

Almost surely, 2^106064010 is an apocalyptic number.

106064010 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 106064010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149483880).

106064010 is an abundant number, since it is smaller than the sum of its proper divisors (192903750).

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

106064010 is a wasteful number, since it uses less digits than its factorization.

106064010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 632 (or 629 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 106064010 is about 10298.7382722351. The cubic root of 106064010 is about 473.3575925983.

The spelling of 106064010 in words is "one hundred six million, sixty-four thousand, ten".