102949728 has 96 divisors (see below), whose sum is σ = 310625280. Its totient is φ = 29245440.

The previous prime is 102949727. The next prime is 102949741. The reversal of 102949728 is 827949201.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 102949728.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102949727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 160288 + ... + 160928.

It is an arithmetic number, because the mean of its divisors is an integer number (3235680).

Almost surely, 2^102949728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102949728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155312640).

102949728 is an abundant number, since it is smaller than the sum of its proper divisors (207675552).

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

102949728 is a wasteful number, since it uses less digits than its factorization.

102949728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 900 (or 892 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 42.

The square root of 102949728 is about 10146.4145391365. The cubic root of 102949728 is about 468.6785394353.

The spelling of 102949728 in words is "one hundred two million, nine hundred forty-nine thousand, seven hundred twenty-eight".