106103456 has 48 divisors (see below), whose sum is σ = 215999784. Its totient is φ = 51277824.

The previous prime is 106103453. The next prime is 106103479. The reversal of 106103456 is 654301601.

It can be written as a sum of positive squares in 4 ways, for example, as 106090000 + 13456 = 10300^2 + 116^2 .

It is a super-2 number, since 2×106103456² = 22515886750287872, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106103453) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 123380 + ... + 124236.

Almost surely, 2^106103456 is an apocalyptic number.

106103456 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 106103456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107999892).

106103456 is an abundant number, since it is smaller than the sum of its proper divisors (109896328).

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

106103456 is an equidigital number, since it uses as much as digits as its factorization.

106103456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 993 (or 985 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 26.

The square root of 106103456 is about 10300.6531831724. The cubic root of 106103456 is about 473.4162670701.

The spelling of 106103456 in words is "one hundred six million, one hundred three thousand, four hundred fifty-six".