106271440 has 40 divisors (see below), whose sum is σ = 269545248. Its totient is φ = 38643840.

The previous prime is 106271423. The next prime is 106271443. The reversal of 106271440 is 44172601.

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

It is a super-2 number, since 2×106271440² = 22587237919347200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106271443) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 59502 + ... + 61261.

Almost surely, 2^106271440 is an apocalyptic number.

106271440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106271440 is an abundant number, since it is smaller than the sum of its proper divisors (163273808).

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

106271440 is a wasteful number, since it uses less digits than its factorization.

106271440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120787 (or 120781 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 25.

The square root of 106271440 is about 10308.8040043450. The cubic root of 106271440 is about 473.6659743813.

It can be divided in two parts, 10 and 6271440, that multiplied together give a triangular number (62714400 = T₁₁₁₉₉).

The spelling of 106271440 in words is "one hundred six million, two hundred seventy-one thousand, four hundred forty".