40106889 has 9 divisors (see below), whose sum is σ = 57959629. Its totient is φ = 26725260.

The previous prime is 40106879. The next prime is 40106903. The reversal of 40106889 is 98860104.

It is a happy number.

The square root of 40106889 is 6333.

It is a perfect power (a square), and thus also a powerful number.

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 40106889 - 2⁹ = 40106377 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (40106809) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 17944 + ... + 20054.

Almost surely, 2^40106889 is an apocalyptic number.

40106889 is the 6333-rd square number.

40106889 is the 3167-th centered octagonal number.

It is an amenable number.

40106889 is a deficient number, since it is larger than the sum of its proper divisors (17852740).

40106889 is an frugal number, since it uses more digits than its factorization.

40106889 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4228 (or 2114 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The cubic root of 40106889 is about 342.2995477563.

Multiplying 40106889 by its sum of digits (36), we get a square (1443848004 = 37998²).

It can be divided in two parts, 40 and 106889, that added together give a square (106929 = 327²).

The spelling of 40106889 in words is "forty million, one hundred six thousand, eight hundred eighty-nine".