106825510 has 16 divisors (see below), whose sum is σ = 209766672. Its totient is φ = 38845600.

The previous prime is 106825507. The next prime is 106825517. The reversal of 106825510 is 15528601.

It is a super-2 number, since 2×106825510² = 22823379173520200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106825517) 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 7 ways as a sum of consecutive naturals, for example, 485461 + ... + 485680.

It is an arithmetic number, because the mean of its divisors is an integer number (13110417).

Almost surely, 2^106825510 is an apocalyptic number.

106825510 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106825510 is a deficient number, since it is larger than the sum of its proper divisors (102941162).

106825510 is a wasteful number, since it uses less digits than its factorization.

106825510 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 971159.

The product of its (nonzero) digits is 2400, while the sum is 28.

The square root of 106825510 is about 10335.6426989327. The cubic root of 106825510 is about 474.4877358355.

The spelling of 106825510 in words is "one hundred six million, eight hundred twenty-five thousand, five hundred ten".