102771520 has 56 divisors (see below), whose sum is σ = 245708424. Its totient is φ = 40943616.

The previous prime is 102771497. The next prime is 102771527. The reversal of 102771520 is 25177201.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2611456 + 100160064 = 1616^2 + 10008^2 .

It is a super-2 number, since 2×102771520² = 21123970646220800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102771527) 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, 107364 + ... + 108316.

Almost surely, 2^102771520 is an apocalyptic number.

102771520 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 102771520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122854212).

102771520 is an abundant number, since it is smaller than the sum of its proper divisors (142936904).

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

102771520 is an equidigital number, since it uses as much as digits as its factorization.

102771520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1307 (or 1297 counting only the distinct ones).

The product of its (nonzero) digits is 980, while the sum is 25.

The square root of 102771520 is about 10137.6289141002. The cubic root of 102771520 is about 468.4079526610.

The spelling of 102771520 in words is "one hundred two million, seven hundred seventy-one thousand, five hundred twenty".