102493440 has 432 divisors, whose sum is σ = 428553216. Its totient is φ = 22118400.

The previous prime is 102493439. The next prime is 102493507. The reversal of 102493440 is 44394201.

102493440 is nontrivially palindromic in base 11.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2499820 + ... + 2499860.

Almost surely, 2^102493440 is an apocalyptic number.

102493440 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 102493440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214276608).

102493440 is an abundant number, since it is smaller than the sum of its proper divisors (326059776).

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

102493440 is a wasteful number, since it uses less digits than its factorization.

102493440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 102493440 is about 10123.9043851668. The cubic root of 102493440 is about 467.9850970490.

It can be divided in two parts, 10249 and 3440, that added together give a square (13689 = 117²).

The spelling of 102493440 in words is "one hundred two million, four hundred ninety-three thousand, four hundred forty".