103842025920 has 392 divisors, whose sum is σ = 372311090784. Its totient is φ = 27574069248.

The previous prime is 103842025913. The next prime is 103842025943. The reversal of 103842025920 is 29520248301.

It is a happy number.

103842025920 is a `hidden beast` number, since 1 + 0 + 384 + 2 + 0 + 259 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 64617757 + ... + 64619363.

Almost surely, 2^103842025920 is an apocalyptic number.

103842025920 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 103842025920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186155545392).

103842025920 is an abundant number, since it is smaller than the sum of its proper divisors (268469064864).

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

103842025920 is an equidigital number, since it uses as much as digits as its factorization.

103842025920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1919 (or 1894 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 103842025920 in words is "one hundred three billion, eight hundred forty-two million, twenty-five thousand, nine hundred twenty".