102429405 has 48 divisors (see below), whose sum is σ = 192157056. Its totient is φ = 50175360.

The previous prime is 102429401. The next prime is 102429413. The reversal of 102429405 is 504924201.

102429405 is a `hidden beast` number, since 10 + 242 + 9 + 405 = 666.

It is not a de Polignac number, because 102429405 - 2² = 102429401 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102429401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 181654 + ... + 182216.

It is an arithmetic number, because the mean of its divisors is an integer number (4003272).

Almost surely, 2^102429405 is an apocalyptic number.

102429405 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

102429405 is a deficient number, since it is larger than the sum of its proper divisors (89727651).

102429405 is a wasteful number, since it uses less digits than its factorization.

102429405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 898 (or 895 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 102429405 is about 10120.7413266025. The cubic root of 102429405 is about 467.8876154645.

The spelling of 102429405 in words is "one hundred two million, four hundred twenty-nine thousand, four hundred five".