103837328644 has 27 divisors (see below), whose sum is σ = 211392317493. Its totient is φ = 44499778848.

The previous prime is 103837328537. The next prime is 103837328717. The reversal of 103837328644 is 446823738301.

The square root of 103837328644 is 322238.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 54957424900 + 48879903744 = 234430^2 + 221088^2 .

It is a Harshad number since it is a multiple of its sum of digits (49).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4499824 + ... + 4522840.

Almost surely, 2^103837328644 is an apocalyptic number.

103837328644 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

103837328644 is the 322238-th square number.

It is an amenable number.

103837328644 is an abundant number, since it is smaller than the sum of its proper divisors (107554988849).

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

103837328644 is an frugal number, since it uses more digits than its factorization.

103837328644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46052 (or 23026 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 49.

Multiplying 103837328644 by its sum of digits (49), we get a square (5088029103556 = 2255666²).

103837328644 divided by its sum of digits (49) gives a square (2119129156 = 46034²).

The spelling of 103837328644 in words is "one hundred three billion, eight hundred thirty-seven million, three hundred twenty-eight thousand, six hundred forty-four".