102527399601 has 81 divisors (see below), whose sum is σ = 168741787851. Its totient is φ = 59941252800.

The previous prime is 102527399599. The next prime is 102527399627. The reversal of 102527399601 is 106993725201.

It is a happy number.

The square root of 102527399601 is 320199.

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

102527399601 is a `hidden beast` number, since 1 + 0 + 2 + 5 + 2 + 7 + 39 + 9 + 601 = 666.

It can be written as a sum of positive squares in only one way, i.e., 654080625 + 101873318976 = 25575^2 + 319176^2 .

It is not a de Polignac number, because 102527399601 - 2¹ = 102527399599 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (102527399101) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 327563421 + ... + 327563733.

Almost surely, 2^102527399601 is an apocalyptic number.

102527399601 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

102527399601 is the 320199-th square number.

102527399601 is the 160100-th centered octagonal number.

It is an amenable number.

102527399601 is a deficient number, since it is larger than the sum of its proper divisors (66214388250).

102527399601 is an equidigital number, since it uses as much as digits as its factorization.

102527399601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 716 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The spelling of 102527399601 in words is "one hundred two billion, five hundred twenty-seven million, three hundred ninety-nine thousand, six hundred one".