102026880 has 96 divisors (see below), whose sum is σ = 352331460. Its totient is φ = 27205632.

The previous prime is 102026879. The next prime is 102026933. The reversal of 102026880 is 88620201.

It can be written as a sum of positive squares in 2 ways, for example, as 98247744 + 3779136 = 9912^2 + 1944^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3097 + ... + 14616.

Almost surely, 2^102026880 is an apocalyptic number.

102026880 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 102026880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176165730).

102026880 is an abundant number, since it is smaller than the sum of its proper divisors (250304580).

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

102026880 is a wasteful number, since it uses less digits than its factorization.

102026880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17738 (or 17723 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 102026880 is about 10100.8356089979. The cubic root of 102026880 is about 467.2739124321.

The spelling of 102026880 in words is "one hundred two million, twenty-six thousand, eight hundred eighty".