103820937833536 has 945 divisors, whose sum is σ = 282664975295157. Its totient is φ = 37796433776640.

The previous prime is 103820937833497. The next prime is 103820937833539. The reversal of 103820937833536 is 635338739028301.

The square root of 103820937833536 is 10189256.

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., 80829449870400 + 22991487963136 = 8990520^2 + 4794944^2 .

It is not an unprimeable number, because it can be changed into a prime (103820937833539) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 746913221755 + ... + 746913221893.

Almost surely, 2^{103820937833536} is an apocalyptic number.

103820937833536 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

103820937833536 is the 10189256-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103820937833536

103820937833536 is an abundant number, since it is smaller than the sum of its proper divisors (178844037461621).

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

103820937833536 is an frugal number, since it uses more digits than its factorization.

103820937833536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 58786560, while the sum is 61.

The spelling of 103820937833536 in words is "one hundred three trillion, eight hundred twenty billion, nine hundred thirty-seven million, eight hundred thirty-three thousand, five hundred thirty-six".