103561920 has 336 divisors, whose sum is σ = 445056768. Its totient is φ = 21473280.

The previous prime is 103561907. The next prime is 103561921. The reversal of 103561920 is 29165301.

103561920 is a `hidden beast` number, since 10 + 3 + 561 + 92 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-3 number, since 3×103561920³ (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103561921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 221527 + ... + 221993.

Almost surely, 2^103561920 is an apocalyptic number.

103561920 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 103561920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222528384).

103561920 is an abundant number, since it is smaller than the sum of its proper divisors (341494848).

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

103561920 is a wasteful number, since it uses less digits than its factorization.

103561920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 508 (or 495 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 103561920 is about 10176.5377216419. The cubic root of 103561920 is about 469.6057052224.

The spelling of 103561920 in words is "one hundred three million, five hundred sixty-one thousand, nine hundred twenty".