102771360 has 288 divisors, whose sum is σ = 382112640. Its totient is φ = 25073664.

The previous prime is 102771329. The next prime is 102771391. The reversal of 102771360 is 63177201.

It is an interprime number because it is at equal distance from previous prime (102771329) and next prime (102771391).

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 960427 + ... + 960533.

It is an arithmetic number, because the mean of its divisors is an integer number (1326780).

Almost surely, 2^102771360 is an apocalyptic number.

102771360 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 102771360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191056320).

102771360 is an abundant number, since it is smaller than the sum of its proper divisors (279341280).

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

102771360 is a wasteful number, since it uses less digits than its factorization.

102771360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 27.

The square root of 102771360 is about 10137.6210227055. The cubic root of 102771360 is about 468.4077095803.

The spelling of 102771360 in words is "one hundred two million, seven hundred seventy-one thousand, three hundred sixty".