106419456 has 432 divisors, whose sum is σ = 401768640. Its totient is φ = 26542080.

The previous prime is 106419451. The next prime is 106419457. The reversal of 106419456 is 654914601.

106419456 is a `hidden beast` number, since 1 + 0 + 641 + 9 + 4 + 5 + 6 = 666.

It is a super-2 number, since 2×106419456² = 22650201230671872, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 106419456.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106419451) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5601015 + ... + 5601033.

It is an arithmetic number, because the mean of its divisors is an integer number (930020).

Almost surely, 2^106419456 is an apocalyptic number.

106419456 is a gapful number since it is divisible by the number (16) 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 106419456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200884320).

106419456 is an abundant number, since it is smaller than the sum of its proper divisors (295349184).

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

106419456 is a wasteful number, since it uses less digits than its factorization.

106419456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 106419456 is about 10315.9806126223. The cubic root of 106419456 is about 473.8857813774.

106419456 divided by its sum of digits (36) gives a triangular number (2956096 = T₂₄₃₁).

The spelling of 106419456 in words is "one hundred six million, four hundred nineteen thousand, four hundred fifty-six".