102007080 has 256 divisors, whose sum is σ = 395366400. Its totient is φ = 22913280.

The previous prime is 102007069. The next prime is 102007117. The reversal of 102007080 is 80700201.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 778615 + ... + 778745.

It is an arithmetic number, because the mean of its divisors is an integer number (1544400).

Almost surely, 2^102007080 is an apocalyptic number.

102007080 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 102007080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197683200).

102007080 is an abundant number, since it is smaller than the sum of its proper divisors (293359320).

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

102007080 is a wasteful number, since it uses less digits than its factorization.

102007080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 102007080 is about 10099.8554445101. The cubic root of 102007080 is about 467.2436830715.

Adding to 102007080 its reverse (80700201), we get a palindrome (182707281).

The spelling of 102007080 in words is "one hundred two million, seven thousand, eighty".