106877440 has 80 divisors (see below), whose sum is σ = 259858368. Its totient is φ = 42151936.

The previous prime is 106877431. The next prime is 106877467. The reversal of 106877440 is 44778601.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×106877440² = 22845574361907200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106877440.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 212229 + ... + 212731.

Almost surely, 2^106877440 is an apocalyptic number.

106877440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106877440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129929184).

106877440 is an abundant number, since it is smaller than the sum of its proper divisors (152980928).

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

106877440 is an frugal number, since it uses more digits than its factorization.

106877440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 609 (or 593 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 37.

The square root of 106877440 is about 10338.1545741975. The cubic root of 106877440 is about 474.5646093479.

The spelling of 106877440 in words is "one hundred six million, eight hundred seventy-seven thousand, four hundred forty".