106852540 has 48 divisors (see below), whose sum is σ = 231154560. Its totient is φ = 41472320.

The previous prime is 106852513. The next prime is 106852597. The reversal of 106852540 is 45258601.

It is a super-2 number, since 2×106852540² = 22834930608903200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 97395 + ... + 98485.

It is an arithmetic number, because the mean of its divisors is an integer number (4815720).

Almost surely, 2^106852540 is an apocalyptic number.

106852540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106852540 is an abundant number, since it is smaller than the sum of its proper divisors (124302020).

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

106852540 is a wasteful number, since it uses less digits than its factorization.

106852540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1242 (or 1240 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 31.

The square root of 106852540 is about 10336.9502272189. The cubic root of 106852540 is about 474.5277522508.

It can be divided in two parts, 10685 and 2540, that added together give a square (13225 = 115²).

The spelling of 106852540 in words is "one hundred six million, eight hundred fifty-two thousand, five hundred forty".