102700080 has 360 divisors, whose sum is σ = 416785824. Its totient is φ = 22579200.

The previous prime is 102700069. The next prime is 102700093. The reversal of 102700080 is 80007201.

It is a tau number, because it is divible by the number of its divisors (360).

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

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 71 ways as a sum of consecutive naturals, for example, 1446445 + ... + 1446515.

Almost surely, 2^102700080 is an apocalyptic number.

102700080 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 102700080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208392912).

102700080 is an abundant number, since it is smaller than the sum of its proper divisors (314085744).

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

102700080 is a wasteful number, since it uses less digits than its factorization.

102700080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 129 counting only the distinct ones).

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

The square root of 102700080 is about 10134.1047951953. The cubic root of 102700080 is about 468.2993920374.

Adding to 102700080 its reverse (80007201), we get a palindrome (182707281).

The spelling of 102700080 in words is "one hundred two million, seven hundred thousand, eighty".