103682920561920 has 1008 divisors, whose sum is σ = 429769454147712. Its totient is φ = 23464160870400.

The previous prime is 103682920561897. The next prime is 103682920561939. The reversal of 103682920561920 is 29165029286301.

103682920561920 is a `hidden beast` number, since 1 + 0 + 36 + 8 + 2 + 9 + 20 + 561 + 9 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 659637259 + ... + 659794421.

It is an arithmetic number, because the mean of its divisors is an integer number (426358585464).

Almost surely, 2^{103682920561920} is an apocalyptic number.

103682920561920 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 103682920561920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214884727073856).

103682920561920 is an abundant number, since it is smaller than the sum of its proper divisors (326086533585792).

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

103682920561920 is an equidigital number, since it uses as much as digits as its factorization.

103682920561920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157310 (or 157281 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 103682920561920 in words is "one hundred three trillion, six hundred eighty-two billion, nine hundred twenty million, five hundred sixty-one thousand, nine hundred twenty".