102772080 has 120 divisors (see below), whose sum is σ = 352602432. Its totient is φ = 26813952.

The previous prime is 102772079. The next prime is 102772091. The reversal of 102772080 is 80277201.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32322 + ... + 35358.

Almost surely, 2^102772080 is an apocalyptic number.

102772080 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 102772080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176301216).

102772080 is an abundant number, since it is smaller than the sum of its proper divisors (249830352).

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

102772080 is a wasteful number, since it uses less digits than its factorization.

102772080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3103 (or 3094 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 27.

The square root of 102772080 is about 10137.6565339333. The cubic root of 102772080 is about 468.4088034414.

The spelling of 102772080 in words is "one hundred two million, seven hundred seventy-two thousand, eighty".