102267440 has 80 divisors (see below), whose sum is σ = 260983296. Its totient is φ = 36960000.

The previous prime is 102267437. The next prime is 102267457. The reversal of 102267440 is 44762201.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 220649 + ... + 221111.

Almost surely, 2^102267440 is an apocalyptic number.

102267440 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 102267440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130491648).

102267440 is an abundant number, since it is smaller than the sum of its proper divisors (158715856).

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

102267440 is a wasteful number, since it uses less digits than its factorization.

102267440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 738 (or 732 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 26.

The square root of 102267440 is about 10112.7365238100. The cubic root of 102267440 is about 467.6408718804.

The spelling of 102267440 in words is "one hundred two million, two hundred sixty-seven thousand, four hundred forty".