102049152 has 128 divisors (see below), whose sum is σ = 290822400. Its totient is φ = 31610880.

The previous prime is 102049151. The next prime is 102049237. The reversal of 102049152 is 251940201.

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 (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102049151) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 517918 + ... + 518114.

It is an arithmetic number, because the mean of its divisors is an integer number (2272050).

Almost surely, 2^102049152 is an apocalyptic number.

102049152 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 102049152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145411200).

102049152 is an abundant number, since it is smaller than the sum of its proper divisors (188773248).

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

102049152 is a wasteful number, since it uses less digits than its factorization.

102049152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 102049152 is about 10101.9380318828. The cubic root of 102049152 is about 467.3079112090.

Adding to 102049152 its reverse (251940201), we get a palindrome (353989353).

Subtracting 102049152 from its reverse (251940201), we obtain a square (149891049 = 12243²).

It can be divided in two parts, 102049 and 152, that added together give a palindrome (102201).

The spelling of 102049152 in words is "one hundred two million, forty-nine thousand, one hundred fifty-two".