106825360 has 40 divisors (see below), whose sum is σ = 253662336. Its totient is φ = 41819520.

The previous prime is 106825351. The next prime is 106825361. The reversal of 106825360 is 63528601.

106825360 = T₁₅₉ + T₁₆₀ + ... + T₈₆₃.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×106825360² = 22823315078259200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106825361) 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 7 ways as a sum of consecutive naturals, for example, 10446 + ... + 17965.

Almost surely, 2^106825360 is an apocalyptic number.

106825360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106825360 is an abundant number, since it is smaller than the sum of its proper divisors (146836976).

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

106825360 is a wasteful number, since it uses less digits than its factorization.

106825360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28471 (or 28465 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 31.

The square root of 106825360 is about 10335.6354424873. The cubic root of 106825360 is about 474.4875137500.

The spelling of 106825360 in words is "one hundred six million, eight hundred twenty-five thousand, three hundred sixty".