106455840 has 96 divisors (see below), whose sum is σ = 338095296. Its totient is φ = 28154880.

The previous prime is 106455821. The next prime is 106455847. The reversal of 106455840 is 48554601.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×106455840² = 22665691740211200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106455847) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62034 + ... + 63726.

It is an arithmetic number, because the mean of its divisors is an integer number (3521826).

Almost surely, 2^106455840 is an apocalyptic number.

106455840 is a gapful number since it is divisible by the number (10) 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 106455840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169047648).

106455840 is an abundant number, since it is smaller than the sum of its proper divisors (231639456).

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

106455840 is a wasteful number, since it uses less digits than its factorization.

106455840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1842 (or 1834 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 33.

The square root of 106455840 is about 10317.7439394472. The cubic root of 106455840 is about 473.9397812014.

The spelling of 106455840 in words is "one hundred six million, four hundred fifty-five thousand, eight hundred forty".