102040120 has 192 divisors, whose sum is σ = 303266880. Its totient is φ = 30081024.

The previous prime is 102040093. The next prime is 102040157. The reversal of 102040120 is 21040201.

It is a super-2 number, since 2×102040120² = 20824372179228800, which contains 22 as substring.

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 = 102040097 and 102040106.

It is a congruent number.

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, 1051912 + ... + 1052008.

It is an arithmetic number, because the mean of its divisors is an integer number (1579515).

Almost surely, 2^102040120 is an apocalyptic number.

102040120 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 102040120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151633440).

102040120 is an abundant number, since it is smaller than the sum of its proper divisors (201226760).

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

102040120 is a wasteful number, since it uses less digits than its factorization.

102040120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 141 counting only the distinct ones).

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

The square root of 102040120 is about 10101.4909790585. The cubic root of 102040120 is about 467.2941242266.

Adding to 102040120 its reverse (21040201), we get a palindrome (123080321).

The spelling of 102040120 in words is "one hundred two million, forty thousand, one hundred twenty".