106442644 has 96 divisors (see below), whose sum is σ = 254741760. Its totient is φ = 37632000.

The previous prime is 106442641. The next prime is 106442647. The reversal of 106442644 is 446244601.

It is an interprime number because it is at equal distance from previous prime (106442641) and next prime (106442647).

It is a super-2 number, since 2×106442644² = 22660072923421472, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106442641) 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, 151494 + ... + 152194.

It is an arithmetic number, because the mean of its divisors is an integer number (2653560).

Almost surely, 2^106442644 is an apocalyptic number.

106442644 is a gapful number since it is divisible by the number (14) 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 106442644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127370880).

106442644 is an abundant number, since it is smaller than the sum of its proper divisors (148299116).

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

106442644 is a wasteful number, since it uses less digits than its factorization.

106442644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 769 (or 767 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 31.

The square root of 106442644 is about 10317.1044387464. The cubic root of 106442644 is about 473.9201975951.

The spelling of 106442644 in words is "one hundred six million, four hundred forty-two thousand, six hundred forty-four".