102134016 has 108 divisors (see below), whose sum is σ = 298164412. Its totient is φ = 33619968.

The previous prime is 102133979. The next prime is 102134017. The reversal of 102134016 is 610431201.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 68956416 + 33177600 = 8304^2 + 5760^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 102134016.

It is not an unprimeable number, because it can be changed into a prime (102134017) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 223260 + ... + 223716.

Almost surely, 2^102134016 is an apocalyptic number.

102134016 is a gapful number since it is divisible by the number (16) 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 102134016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149082206).

102134016 is an abundant number, since it is smaller than the sum of its proper divisors (196030396).

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

102134016 is an equidigital number, since it uses as much as digits as its factorization.

102134016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 576 (or 559 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 102134016 is about 10106.1375411183. The cubic root of 102134016 is about 467.4374129566.

Adding to 102134016 its reverse (610431201), we get a palindrome (712565217).

The spelling of 102134016 in words is "one hundred two million, one hundred thirty-four thousand, sixteen".