102771680 has 48 divisors (see below), whose sum is σ = 264875184. Its totient is φ = 37370880.

The previous prime is 102771671. The next prime is 102771689. The reversal of 102771680 is 86177201.

It is an interprime number because it is at equal distance from previous prime (102771671) and next prime (102771689).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102771689) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27437 + ... + 30956.

It is an arithmetic number, because the mean of its divisors is an integer number (5518233).

Almost surely, 2^102771680 is an apocalyptic number.

102771680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102771680 is an abundant number, since it is smaller than the sum of its proper divisors (162103504).

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

102771680 is a wasteful number, since it uses less digits than its factorization.

102771680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58419 (or 58411 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 32.

The square root of 102771680 is about 10137.6368054887. The cubic root of 102771680 is about 468.4081957414.

The spelling of 102771680 in words is "one hundred two million, seven hundred seventy-one thousand, six hundred eighty".