106449408 has 120 divisors (see below), whose sum is σ = 331038708. Its totient is φ = 32735232.

The previous prime is 106449379. The next prime is 106449433. The reversal of 106449408 is 804944601.

It is a happy number.

106449408 is a `hidden beast` number, since 1 + 0 + 644 + 9 + 4 + 0 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 102576384 + 3873024 = 10128^2 + 1968^2 .

It is a super-2 number, since 2×106449408² = 22662952927100928, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 59016 + ... + 60792.

Almost surely, 2^106449408 is an apocalyptic number.

106449408 is a gapful number since it is divisible by the number (18) 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 106449408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165519354).

106449408 is an abundant number, since it is smaller than the sum of its proper divisors (224589300).

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

106449408 is a wasteful number, since it uses less digits than its factorization.

106449408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1814 (or 1795 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 106449408 is about 10317.4322386920. The cubic root of 106449408 is about 473.9302359537.

The spelling of 106449408 in words is "one hundred six million, four hundred forty-nine thousand, four hundred eight".