102997440 has 448 divisors, whose sum is σ = 450616320. Its totient is φ = 21565440.

The previous prime is 102997429. The next prime is 102997481. The reversal of 102997440 is 44799201.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 102997395 and 102997404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 786175 + ... + 786305.

It is an arithmetic number, because the mean of its divisors is an integer number (1005840).

Almost surely, 2^102997440 is an apocalyptic number.

102997440 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 102997440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225308160).

102997440 is an abundant number, since it is smaller than the sum of its proper divisors (347618880).

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

102997440 is a wasteful number, since it uses less digits than its factorization.

102997440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 102997440 is about 10148.7654421609. The cubic root of 102997440 is about 468.7509311982.

The spelling of 102997440 in words is "one hundred two million, nine hundred ninety-seven thousand, four hundred forty".