106609440 has 96 divisors (see below), whose sum is σ = 383806080. Its totient is φ = 24367104.

The previous prime is 106609337. The next prime is 106609441. The reversal of 106609440 is 44906601.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×106609440² = 22731145394227200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 106609398 and 106609407.

It is not an unprimeable number, because it can be changed into a prime (106609441) 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 15 ways as a sum of consecutive naturals, for example, 12505 + ... + 19224.

It is an arithmetic number, because the mean of its divisors is an integer number (3997980).

Almost surely, 2^106609440 is an apocalyptic number.

106609440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106609440 is an abundant number, since it is smaller than the sum of its proper divisors (277196640).

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

106609440 is a wasteful number, since it uses less digits than its factorization.

106609440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31754 (or 31746 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 106609440 is about 10325.1847441099. The cubic root of 106609440 is about 474.1676132821.

It can be divided in two parts, 10660 and 9440, that added together give a triangular number (20100 = T₂₀₀).

The spelling of 106609440 in words is "one hundred six million, six hundred nine thousand, four hundred forty".