106454816 has 48 divisors (see below), whose sum is σ = 238997304. Its totient is φ = 46239744.

The previous prime is 106454813. The next prime is 106454857. The reversal of 106454816 is 618454601.

It can be written as a sum of positive squares in 4 ways, for example, as 103958416 + 2496400 = 10196^2 + 1580^2 .

It is a super-2 number, since 2×106454816² = 22665255699187712, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106454813) 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, 455 + ... + 14598.

Almost surely, 2^106454816 is an apocalyptic number.

106454816 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 106454816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119498652).

106454816 is an abundant number, since it is smaller than the sum of its proper divisors (132542488).

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

106454816 is a wasteful number, since it uses less digits than its factorization.

106454816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15093 (or 15085 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 35.

The square root of 106454816 is about 10317.6943160766. The cubic root of 106454816 is about 473.9382615857.

The spelling of 106454816 in words is "one hundred six million, four hundred fifty-four thousand, eight hundred sixteen".