102400120 has 64 divisors (see below), whose sum is σ = 246268800. Its totient is φ = 38206080.

The previous prime is 102400069. The next prime is 102400121. The reversal of 102400120 is 21004201.

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 = 102400097 and 102400106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102400121) 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, 49915 + ... + 51925.

It is an arithmetic number, because the mean of its divisors is an integer number (3847950).

Almost surely, 2^102400120 is an apocalyptic number.

102400120 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 102400120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123134400).

102400120 is an abundant number, since it is smaller than the sum of its proper divisors (143868680).

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

102400120 is a wasteful number, since it uses less digits than its factorization.

102400120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2108 (or 2104 counting only the distinct ones).

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

The square root of 102400120 is about 10119.2944418077. The cubic root of 102400120 is about 467.8430208651.

Adding to 102400120 its reverse (21004201), we get a palindrome (123404321).

The spelling of 102400120 in words is "one hundred two million, four hundred thousand, one hundred twenty".