102849432 has 96 divisors (see below), whose sum is σ = 314913600. Its totient is φ = 27832896.

The previous prime is 102849419. The next prime is 102849437. The reversal of 102849432 is 234948201.

It is a junction number, because it is equal to n+sod(n) for n = 102849393 and 102849402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102849437) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20043 + ... + 24645.

It is an arithmetic number, because the mean of its divisors is an integer number (3280350).

Almost surely, 2^102849432 is an apocalyptic number.

102849432 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 102849432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157456800).

102849432 is an abundant number, since it is smaller than the sum of its proper divisors (212064168).

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

102849432 is a wasteful number, since it uses less digits than its factorization.

102849432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4645 (or 4634 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 102849432 is about 10141.4708992335. The cubic root of 102849432 is about 468.5262908349.

The spelling of 102849432 in words is "one hundred two million, eight hundred forty-nine thousand, four hundred thirty-two".