106671440 has 20 divisors (see below), whose sum is σ = 248011284. Its totient is φ = 42668544.

The previous prime is 106671421. The next prime is 106671443. The reversal of 106671440 is 44176601.

It can be written as a sum of positive squares in 2 ways, for example, as 64577296 + 42094144 = 8036^2 + 6488^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×106671440² = 22757592223347200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106671443) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 666617 + ... + 666776.

Almost surely, 2^106671440 is an apocalyptic number.

106671440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106671440 is an abundant number, since it is smaller than the sum of its proper divisors (141339844).

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

106671440 is a wasteful number, since it uses less digits than its factorization.

106671440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1333406 (or 1333400 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 29.

The square root of 106671440 is about 10328.1866753075. The cubic root of 106671440 is about 474.2595147587.

The spelling of 106671440 in words is "one hundred six million, six hundred seventy-one thousand, four hundred forty".