73815456100 has 81 divisors (see below), whose sum is σ = 162384830881. Its totient is φ = 29125168000.

The previous prime is 73815456061. The next prime is 73815456109. The reversal of 73815456100 is 165451837.

It is a happy number.

The square root of 73815456100 is 271690.

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 42921066276 + 30894389824 = 207174^2 + 175768^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (73815456109) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 274406766 + ... + 274407034.

Almost surely, 2^73815456100 is an apocalyptic number.

73815456100 is the 271690-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73815456100

73815456100 is an abundant number, since it is smaller than the sum of its proper divisors (88569374781).

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

73815456100 is a wasteful number, since it uses less digits than its factorization.

73815456100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 754 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 40.

The spelling of 73815456100 in words is "seventy-three billion, eight hundred fifteen million, four hundred fifty-six thousand, one hundred".