10102420 has 48 divisors (see below), whose sum is σ = 23018688. Its totient is φ = 3709440.

The previous prime is 10102387. The next prime is 10102423. The reversal of 10102420 is 2420101.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 10102397 and 10102406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10102423) 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, 14275 + ... + 14965.

It is an arithmetic number, because the mean of its divisors is an integer number (479556).

Almost surely, 2^10102420 is an apocalyptic number.

10102420 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 10102420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11509344).

10102420 is an abundant number, since it is smaller than the sum of its proper divisors (12916268).

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

10102420 is a wasteful number, since it uses less digits than its factorization.

10102420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 760 (or 758 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 10102420 is about 3178.4304302596. The cubic root of 10102420 is about 216.1764961186.

Adding to 10102420 its reverse (2420101), we get a palindrome (12522521).

The spelling of 10102420 in words is "ten million, one hundred two thousand, four hundred twenty".