106361664 has 56 divisors (see below), whose sum is σ = 284366208. Its totient is φ = 35082240.

The previous prime is 106361659. The next prime is 106361669. The reversal of 106361664 is 466163601.

It is an interprime number because it is at equal distance from previous prime (106361659) and next prime (106361669).

It is a super-2 number, since 2×106361664² = 22625607137697792, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106361669) 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 7 ways as a sum of consecutive naturals, for example, 15769 + ... + 21479.

It is an arithmetic number, because the mean of its divisors is an integer number (5077968).

Almost surely, 2^106361664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106361664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142183104).

106361664 is an abundant number, since it is smaller than the sum of its proper divisors (178004544).

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

106361664 is an equidigital number, since it uses as much as digits as its factorization.

106361664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5823 (or 5813 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 106361664 is about 10313.1791412736. The cubic root of 106361664 is about 473.7999832625.

The spelling of 106361664 in words is "one hundred six million, three hundred sixty-one thousand, six hundred sixty-four".