106275456 has 256 divisors, whose sum is σ = 376012800. Its totient is φ = 28892160.

The previous prime is 106275451. The next prime is 106275473. The reversal of 106275456 is 654572601.

It is a happy number.

106275456 is a `hidden beast` number, since 106 + 2 + 7 + 545 + 6 = 666.

It is a super-2 number, since 2×106275456² = 22588945096015872, 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 106275456.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106275451) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 556321 + ... + 556511.

It is an arithmetic number, because the mean of its divisors is an integer number (1468800).

Almost surely, 2^106275456 is an apocalyptic number.

106275456 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 106275456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188006400).

106275456 is an abundant number, since it is smaller than the sum of its proper divisors (269737344).

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

106275456 is a wasteful number, since it uses less digits than its factorization.

106275456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 106275456 is about 10308.9987874672. The cubic root of 106275456 is about 473.6719409220.

The spelling of 106275456 in words is "one hundred six million, two hundred seventy-five thousand, four hundred fifty-six".