106456020 has 96 divisors (see below), whose sum is σ = 328599936. Its totient is φ = 25536000.

The previous prime is 106455997. The next prime is 106456027. The reversal of 106456020 is 20654601.

It is a super-2 number, since 2×106456020² = 22665768388480800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106456027) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 65862 + ... + 67458.

It is an arithmetic number, because the mean of its divisors is an integer number (3422916).

Almost surely, 2^106456020 is an apocalyptic number.

106456020 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 106456020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164299968).

106456020 is an abundant number, since it is smaller than the sum of its proper divisors (222143916).

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

106456020 is a wasteful number, since it uses less digits than its factorization.

106456020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1721 (or 1719 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 106456020 is about 10317.7526622807. The cubic root of 106456020 is about 473.9400483203.

The spelling of 106456020 in words is "one hundred six million, four hundred fifty-six thousand, twenty".