102400080 has 80 divisors (see below), whose sum is σ = 319961664. Its totient is φ = 27089920.

The previous prime is 102400069. The next prime is 102400121. The reversal of 102400080 is 80004201.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29812 + ... + 33068.

Almost surely, 2^102400080 is an apocalyptic number.

102400080 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 102400080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159980832).

102400080 is an abundant number, since it is smaller than the sum of its proper divisors (217561584).

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

102400080 is a wasteful number, since it uses less digits than its factorization.

102400080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3404 (or 3398 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 102400080 is about 10119.2924653851. The cubic root of 102400080 is about 467.8429599481.

Adding to 102400080 its reverse (80004201), we get a palindrome (182404281).

The spelling of 102400080 in words is "one hundred two million, four hundred thousand, eighty".