102500420 has 96 divisors (see below), whose sum is σ = 250822656. Its totient is φ = 34812800.

The previous prime is 102500401. The next prime is 102500423. The reversal of 102500420 is 24005201.

It is a super-4 number, since 4×102500420⁴ (a number of 33 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 102500395 and 102500404.

It is not an unprimeable number, because it can be changed into a prime (102500423) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 237605 + ... + 238035.

It is an arithmetic number, because the mean of its divisors is an integer number (2612736).

Almost surely, 2^102500420 is an apocalyptic number.

102500420 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 102500420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125411328).

102500420 is an abundant number, since it is smaller than the sum of its proper divisors (148322236).

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

102500420 is a wasteful number, since it uses less digits than its factorization.

102500420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 521 (or 519 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 14.

The square root of 102500420 is about 10124.2491079586. The cubic root of 102500420 is about 467.9957203690.

Adding to 102500420 its reverse (24005201), we get a palindrome (126505621).

The spelling of 102500420 in words is "one hundred two million, five hundred thousand, four hundred twenty".