106501440 has 56 divisors (see below), whose sum is σ = 338145120. Its totient is φ = 28400128.

The previous prime is 106501387. The next prime is 106501459. The reversal of 106501440 is 44105601.

It is a super-2 number, since 2×106501440² = 22685113444147200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 54510 + ... + 56429.

Almost surely, 2^106501440 is an apocalyptic number.

106501440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106501440 is an abundant number, since it is smaller than the sum of its proper divisors (231643680).

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

106501440 is a wasteful number, since it uses less digits than its factorization.

106501440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110959 (or 110949 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 106501440 is about 10319.9534882673. The cubic root of 106501440 is about 474.0074417105.

It can be divided in two parts, 10650 and 1440, that added together give a triangular number (12090 = T₁₅₅).

The spelling of 106501440 in words is "one hundred six million, five hundred one thousand, four hundred forty".