102743424 has 256 divisors, whose sum is σ = 360345600. Its totient is φ = 28200960.

The previous prime is 102743419. The next prime is 102743429. The reversal of 102743424 is 424347201.

It is an interprime number because it is at equal distance from previous prime (102743419) and next prime (102743429).

It is a super-2 number, since 2×102743424² = 21112422350487552, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102743429) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 749884 + ... + 750020.

It is an arithmetic number, because the mean of its divisors is an integer number (1407600).

Almost surely, 2^102743424 is an apocalyptic number.

102743424 is a gapful number since it is divisible by the number (14) 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 102743424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180172800).

102743424 is an abundant number, since it is smaller than the sum of its proper divisors (257602176).

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

102743424 is a wasteful number, since it uses less digits than its factorization.

102743424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 102743424 is about 10136.2430910076. The cubic root of 102743424 is about 468.3652638263.

The spelling of 102743424 in words is "one hundred two million, seven hundred forty-three thousand, four hundred twenty-four".