104950729521 has 27 divisors (see below), whose sum is σ = 166646737803. Its totient is φ = 63600023520.

The previous prime is 104950729453. The next prime is 104950729537. The reversal of 104950729521 is 125927059401.

The square root of 104950729521 is 323961.

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

104950729521 is a `hidden beast` number, since 1 + 0 + 4 + 9 + 50 + 72 + 9 + 521 = 666.

It can be written as a sum of positive squares in only one way, i.e., 104267639025 + 683090496 = 322905^2 + 26136^2 .

It is not a de Polignac number, because 104950729521 - 2¹⁹ = 104950205233 is a prime.

It is a super-2 number, since 2×104950729521² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (104950721521) 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, 10685805 + ... + 10695621.

Almost surely, 2^104950729521 is an apocalyptic number.

104950729521 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

104950729521 is the 323961-st square number.

104950729521 is the 161981-st centered octagonal number.

It is an amenable number.

104950729521 is a deficient number, since it is larger than the sum of its proper divisors (61696008282).

104950729521 is an frugal number, since it uses more digits than its factorization.

104950729521 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19662 (or 9831 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 45.

The spelling of 104950729521 in words is "one hundred four billion, nine hundred fifty million, seven hundred twenty-nine thousand, five hundred twenty-one".