102429600 has 432 divisors, whose sum is σ = 423910368. Its totient is φ = 21288960.

The previous prime is 102429581. The next prime is 102429623. The reversal of 102429600 is 6924201.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 1528767 + ... + 1528833.

It is an arithmetic number, because the mean of its divisors is an integer number (981274).

Almost surely, 2^102429600 is an apocalyptic number.

102429600 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 102429600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211955184).

102429600 is an abundant number, since it is smaller than the sum of its proper divisors (321480768).

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

102429600 is a wasteful number, since it uses less digits than its factorization.

102429600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 102429600 is about 10120.7509602796. The cubic root of 102429600 is about 467.8879123780.

The spelling of 102429600 in words is "one hundred two million, four hundred twenty-nine thousand, six hundred".