102420720 has 80 divisors (see below), whose sum is σ = 352789920. Its totient is φ = 27311616.

The previous prime is 102420719. The next prime is 102420727. The reversal of 102420720 is 27024201.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a junction number, because it is equal to n+sod(n) for n = 102420693 and 102420702.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102420727) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21549 + ... + 25868.

It is an arithmetic number, because the mean of its divisors is an integer number (4409874).

Almost surely, 2^102420720 is an apocalyptic number.

102420720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102420720 is an abundant number, since it is smaller than the sum of its proper divisors (250369200).

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

102420720 is a wasteful number, since it uses less digits than its factorization.

102420720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47439 (or 47427 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 102420720 is about 10120.3122481473. The cubic root of 102420720 is about 467.8743910107.

Adding to 102420720 its reverse (27024201), we get a palindrome (129444921).

The spelling of 102420720 in words is "one hundred two million, four hundred twenty thousand, seven hundred twenty".