103083120 has 240 divisors, whose sum is σ = 401349312. Its totient is φ = 23224320.

The previous prime is 103083109. The next prime is 103083137. The reversal of 103083120 is 21380301.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×103083120² = 21252259257868800, which contains 22 as substring.

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 = 103083093 and 103083102.

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, 569430 + ... + 569610.

Almost surely, 2^103083120 is an apocalyptic number.

103083120 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 103083120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200674656).

103083120 is an abundant number, since it is smaller than the sum of its proper divisors (298266192).

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

103083120 is a wasteful number, since it uses less digits than its factorization.

103083120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 103083120 is about 10152.9857677434. The cubic root of 103083120 is about 468.8808743900.

The spelling of 103083120 in words is "one hundred three million, eighty-three thousand, one hundred twenty".