106355456 has 36 divisors (see below), whose sum is σ = 214534152. Its totient is φ = 52617216.

The previous prime is 106355437. The next prime is 106355461. The reversal of 106355456 is 654553601.

It is a super-2 number, since 2×106355456² = 22622966041935872, which contains 22 as substring.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 22691 + ... + 26973.

It is an arithmetic number, because the mean of its divisors is an integer number (5959282).

Almost surely, 2^106355456 is an apocalyptic number.

106355456 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 106355456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107267076).

106355456 is an abundant number, since it is smaller than the sum of its proper divisors (108178696).

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

106355456 is an frugal number, since it uses more digits than its factorization.

106355456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4396 (or 4382 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 35.

The square root of 106355456 is about 10312.8781627633. The cubic root of 106355456 is about 473.7907650053.

The spelling of 106355456 in words is "one hundred six million, three hundred fifty-five thousand, four hundred fifty-six".