102124440 has 384 divisors, whose sum is σ = 403341120. Its totient is φ = 22118400.

The previous prime is 102124427. The next prime is 102124459. The reversal of 102124440 is 44421201.

102124440 is a `hidden beast` number, since 10 + 212 + 4 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2490820 + ... + 2490860.

Almost surely, 2^102124440 is an apocalyptic number.

102124440 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 102124440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201670560).

102124440 is an abundant number, since it is smaller than the sum of its proper divisors (301216680).

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

102124440 is a wasteful number, since it uses less digits than its factorization.

102124440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 102124440 is about 10105.6637585069. The cubic root of 102124440 is about 467.4228036529.

Adding to 102124440 its reverse (44421201), we get a palindrome (146545641).

The spelling of 102124440 in words is "one hundred two million, one hundred twenty-four thousand, four hundred forty".