102134880 has 144 divisors (see below), whose sum is σ = 366977520. Its totient is φ = 25795584.

The previous prime is 102134873. The next prime is 102134941. The reversal of 102134880 is 88431201.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×102134880² = 20863067425228800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 25494 + ... + 29226.

It is an arithmetic number, because the mean of its divisors is an integer number (2548455).

Almost surely, 2^102134880 is an apocalyptic number.

102134880 is a gapful number since it is divisible by the number (10) 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 102134880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183488760).

102134880 is an abundant number, since it is smaller than the sum of its proper divisors (264842640).

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

102134880 is a wasteful number, since it uses less digits than its factorization.

102134880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3773 (or 3762 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 102134880 is about 10106.1802873291. The cubic root of 102134880 is about 467.4387310443.

The spelling of 102134880 in words is "one hundred two million, one hundred thirty-four thousand, eight hundred eighty".