102429734400 has 720 divisors, whose sum is σ = 430382450784. Its totient is φ = 22773104640.

The previous prime is 102429734383. The next prime is 102429734417. The reversal of 102429734400 is 4437924201.

102429734400 is a `hidden beast` number, since 1 + 0 + 24 + 297 + 344 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (102429734383) and next prime (102429734417).

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 29835084 + ... + 29838516.

Almost surely, 2^102429734400 is an apocalyptic number.

102429734400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102429734400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215191225392).

102429734400 is an abundant number, since it is smaller than the sum of its proper divisors (327952716384).

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

102429734400 is a wasteful number, since it uses less digits than its factorization.

102429734400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3511 (or 3487 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 102429734400 in words is "one hundred two billion, four hundred twenty-nine million, seven hundred thirty-four thousand, four hundred".