106351456 has 48 divisors (see below), whose sum is σ = 223470576. Its totient is φ = 49647616.

The previous prime is 106351447. The next prime is 106351463. The reversal of 106351456 is 654153601.

It is a super-2 number, since 2×106351456² = 22621264386639872, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 73815 + ... + 75241.

It is an arithmetic number, because the mean of its divisors is an integer number (4655637).

Almost surely, 2^106351456 is an apocalyptic number.

106351456 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 106351456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111735288).

106351456 is an abundant number, since it is smaller than the sum of its proper divisors (117119120).

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

106351456 is a wasteful number, since it uses less digits than its factorization.

106351456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1591 (or 1583 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 31.

The square root of 106351456 is about 10312.6842286574. The cubic root of 106351456 is about 473.7848252166.

The spelling of 106351456 in words is "one hundred six million, three hundred fifty-one thousand, four hundred fifty-six".