106203456 has 84 divisors (see below), whose sum is σ = 310969152. Its totient is φ = 34639104.

The previous prime is 106203353. The next prime is 106203479. The reversal of 106203456 is 654302601.

106203456 is a `hidden beast` number, since 1 + 0 + 6 + 203 + 456 = 666.

It is a super-2 number, since 2×106203456² = 22558348132687872, 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 11 ways as a sum of consecutive naturals, for example, 25111 + ... + 29033.

Almost surely, 2^106203456 is an apocalyptic number.

106203456 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 106203456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155484576).

106203456 is an abundant number, since it is smaller than the sum of its proper divisors (204765696).

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

106203456 is a wasteful number, since it uses less digits than its factorization.

106203456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3988 (or 3975 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 106203456 is about 10305.5061011093. The cubic root of 106203456 is about 473.5649482520.

The spelling of 106203456 in words is "one hundred six million, two hundred three thousand, four hundred fifty-six".