101641344 has 64 divisors (see below), whose sum is σ = 308562240. Its totient is φ = 29039616.

The previous prime is 101641339. The next prime is 101641361. The reversal of 101641344 is 443146101.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16219 + ... + 21594.

It is an arithmetic number, because the mean of its divisors is an integer number (4821285).

Almost surely, 2^101641344 is an apocalyptic number.

101641344 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

101641344 is an abundant number, since it is smaller than the sum of its proper divisors (206920896).

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

101641344 is an equidigital number, since it uses as much as digits as its factorization.

101641344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37837 (or 37825 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 101641344 is about 10081.7331843290. The cubic root of 101641344 is about 466.6845961365.

Adding to 101641344 its reverse (443146101), we get a palindrome (544787445).

It can be divided in two parts, 10164 and 1344, that multiplied together give a square (13660416 = 3696²).

The spelling of 101641344 in words is "one hundred one million, six hundred forty-one thousand, three hundred forty-four".