103268764191376 has 405 divisors, whose sum is σ = 254550512757681. Its totient is φ = 40458586226688.

The previous prime is 103268764191361. The next prime is 103268764191389. The reversal of 103268764191376 is 673191467862301.

It is a happy number.

The square root of 103268764191376 is 10162124.

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

It can be written as a sum of positive squares in 13 ways, for example, as 39547244595600 + 63721519595776 = 6288660^2 + 7982576^2 .

It is a super-2 number, since 2×103268764191376² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 178975327600 + ... + 178975328176.

Almost surely, 2^{103268764191376} is an apocalyptic number.

103268764191376 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

103268764191376 is the 10162124-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103268764191376

103268764191376 is an abundant number, since it is smaller than the sum of its proper divisors (151281748566305).

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

103268764191376 is an frugal number, since it uses more digits than its factorization.

103268764191376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1284 (or 640 counting only the distinct ones).

The product of its (nonzero) digits is 54867456, while the sum is 64.

The spelling of 103268764191376 in words is "one hundred three trillion, two hundred sixty-eight billion, seven hundred sixty-four million, one hundred ninety-one thousand, three hundred seventy-six".