106889436 has 48 divisors (see below), whose sum is σ = 277754400. Its totient is φ = 35548416.

The previous prime is 106889429. The next prime is 106889473. The reversal of 106889436 is 634988601.

106889436 = T₂₇₉ + T₂₈₀ + ... + T₈₇₁.

It is a super-2 number, since 2×106889436² = 22850703056796192, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106889391 and 106889400.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 63210 + ... + 64878.

It is an arithmetic number, because the mean of its divisors is an integer number (5786550).

Almost surely, 2^106889436 is an apocalyptic number.

It is an amenable number.

106889436 is an abundant number, since it is smaller than the sum of its proper divisors (170864964).

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

106889436 is a wasteful number, since it uses less digits than its factorization.

106889436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2275 (or 2267 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 106889436 is about 10338.7347388353. The cubic root of 106889436 is about 474.5823638403.

The spelling of 106889436 in words is "one hundred six million, eight hundred eighty-nine thousand, four hundred thirty-six".