102474720 has 120 divisors (see below), whose sum is σ = 361696104. Its totient is φ = 27323136.

The previous prime is 102474709. The next prime is 102474721. The reversal of 102474720 is 27474201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

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 (102474721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 9007 + ... + 16913.

Almost surely, 2^102474720 is an apocalyptic number.

102474720 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 102474720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180848052).

102474720 is an abundant number, since it is smaller than the sum of its proper divisors (259221384).

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

102474720 is an equidigital number, since it uses as much as digits as its factorization.

102474720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7934 (or 7917 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 27.

The square root of 102474720 is about 10122.9797984586. The cubic root of 102474720 is about 467.9566034711.

The spelling of 102474720 in words is "one hundred two million, four hundred seventy-four thousand, seven hundred twenty".