102805632 has 128 divisors (see below), whose sum is σ = 306979200. Its totient is φ = 33868800.

The previous prime is 102805627. The next prime is 102805643. The reversal of 102805632 is 236508201.

102805632 is a `hidden beast` number, since 1 + 0 + 28 + 0 + 5 + 632 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 102805596 and 102805605.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 521758 + ... + 521954.

It is an arithmetic number, because the mean of its divisors is an integer number (2398275).

Almost surely, 2^102805632 is an apocalyptic number.

102805632 is a gapful number since it is divisible by the number (12) 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 102805632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153489600).

102805632 is an abundant number, since it is smaller than the sum of its proper divisors (204173568).

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

102805632 is a wasteful number, since it uses less digits than its factorization.

102805632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371 (or 353 counting only the distinct ones).

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

The square root of 102805632 is about 10139.3112192101. The cubic root of 102805632 is about 468.4597717012.

The spelling of 102805632 in words is "one hundred two million, eight hundred five thousand, six hundred thirty-two".