102264540 has 48 divisors (see below), whose sum is σ = 327247872. Its totient is φ = 23374656.

The previous prime is 102264521. The next prime is 102264541. The reversal of 102264540 is 45462201.

It is a super-2 number, since 2×102264540² = 20916072282823200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 102264540.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102264541) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 121324 + ... + 122163.

It is an arithmetic number, because the mean of its divisors is an integer number (6817664).

Almost surely, 2^102264540 is an apocalyptic number.

102264540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102264540 is an abundant number, since it is smaller than the sum of its proper divisors (224983332).

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

102264540 is a wasteful number, since it uses less digits than its factorization.

102264540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243506 (or 243504 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 102264540 is about 10112.5931392497. The cubic root of 102264540 is about 467.6364515379.

The spelling of 102264540 in words is "one hundred two million, two hundred sixty-four thousand, five hundred forty".