102970080 has 144 divisors (see below), whose sum is σ = 366780960. Its totient is φ = 26256384.

The previous prime is 102970073. The next prime is 102970111. The reversal of 102970080 is 80079201.

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

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, 31566 + ... + 34674.

It is an arithmetic number, because the mean of its divisors is an integer number (2547090).

Almost surely, 2^102970080 is an apocalyptic number.

102970080 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 102970080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183390480).

102970080 is an abundant number, since it is smaller than the sum of its proper divisors (263810880).

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

102970080 is a wasteful number, since it uses less digits than its factorization.

102970080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3153 (or 3142 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 102970080 is about 10147.4174054288. The cubic root of 102970080 is about 468.7094215540.

The spelling of 102970080 in words is "one hundred two million, nine hundred seventy thousand, eighty".