102538629 has 10 divisors (see below), whose sum is σ = 153175110. Its totient is φ = 68359032.

The previous prime is 102538523. The next prime is 102538651. The reversal of 102538629 is 926835201.

102538629 is a `hidden beast` number, since 1 + 0 + 25 + 3 + 8 + 629 = 666.

It can be written as a sum of positive squares in only one way, i.e., 97476129 + 5062500 = 9873^2 + 2250^2 .

It is not a de Polignac number, because 102538629 - 2¹⁵ = 102505861 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102538593 and 102538602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102534629) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 632874 + ... + 633035.

It is an arithmetic number, because the mean of its divisors is an integer number (15317511).

Almost surely, 2^102538629 is an apocalyptic number.

It is an amenable number.

102538629 is a deficient number, since it is larger than the sum of its proper divisors (50636481).

102538629 is an equidigital number, since it uses as much as digits as its factorization.

102538629 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1265921 (or 1265912 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 102538629 is about 10126.1359362790. The cubic root of 102538629 is about 468.0538646089.

The spelling of 102538629 in words is "one hundred two million, five hundred thirty-eight thousand, six hundred twenty-nine".