103461120 has 216 divisors, whose sum is σ = 409421376. Its totient is φ = 23629824.

The previous prime is 103461101. The next prime is 103461143. The reversal of 103461120 is 21164301.

It is a happy number.

103461120 is a `hidden beast` number, since 1 + 0 + 34 + 611 + 20 = 666.

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 = 103461093 and 103461102.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 79999 + ... + 81281.

Almost surely, 2^103461120 is an apocalyptic number.

103461120 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 103461120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204710688).

103461120 is an abundant number, since it is smaller than the sum of its proper divisors (305960256).

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

103461120 is a wasteful number, since it uses less digits than its factorization.

103461120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1317 (or 1300 counting only the distinct ones).

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

The square root of 103461120 is about 10171.5839474489. The cubic root of 103461120 is about 469.4532952074.

The spelling of 103461120 in words is "one hundred three million, four hundred sixty-one thousand, one hundred twenty".