102420400 has 60 divisors (see below), whose sum is σ = 248468472. Its totient is φ = 40568320.

The previous prime is 102420389. The next prime is 102420407. The reversal of 102420400 is 4024201.

It is not an unprimeable number, because it can be changed into a prime (102420407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 41604 + ... + 43996.

Almost surely, 2^102420400 is an apocalyptic number.

102420400 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 102420400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124234236).

102420400 is an abundant number, since it is smaller than the sum of its proper divisors (146048072).

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

102420400 is a wasteful number, since it uses less digits than its factorization.

102420400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2518 (or 2507 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

The square root of 102420400 is about 10120.2964383461. The cubic root of 102420400 is about 467.8739037397.

Adding to 102420400 its reverse (4024201), we get a palindrome (106444601).

The spelling of 102420400 in words is "one hundred two million, four hundred twenty thousand, four hundred".