10102413420 has 144 divisors (see below), whose sum is σ = 34546952160. Its totient is φ = 2449054080.

The previous prime is 10102413401. The next prime is 10102413481. The reversal of 10102413420 is 2431420101.

10102413420 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 241 + 3 + 420 = 666.

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 = 10102413393 and 10102413402.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11967 + ... + 142646.

It is an arithmetic number, because the mean of its divisors is an integer number (239909390).

Almost surely, 2^10102413420 is an apocalyptic number.

10102413420 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 10102413420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17273476080).

10102413420 is an abundant number, since it is smaller than the sum of its proper divisors (24444538740).

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

10102413420 is a wasteful number, since it uses less digits than its factorization.

10102413420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154653 (or 154634 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 10102413420 its reverse (2431420101), we get a palindrome (12533833521).

The spelling of 10102413420 in words is "ten billion, one hundred two million, four hundred thirteen thousand, four hundred twenty".