103858122240 has 1120 divisors, whose sum is σ = 410580640800. Its totient is φ = 25082265600.

The previous prime is 103858122239. The next prime is 103858122241. The reversal of 103858122240 is 42221858301.

It is a happy number.

103858122240 is a `hidden beast` number, since 1 + 0 + 38 + 581 + 2 + 2 + 2 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (103858122239) and next prime (103858122241).

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

It is a junction number, because it is equal to n+sod(n) for n = 103858122195 and 103858122204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103858122241) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 1028298190 + ... + 1028298290.

Almost surely, 2^103858122240 is an apocalyptic number.

103858122240 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 103858122240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205290320400).

103858122240 is an abundant number, since it is smaller than the sum of its proper divisors (306722518560).

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

103858122240 is an equidigital number, since it uses as much as digits as its factorization.

103858122240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 103858122240 in words is "one hundred three billion, eight hundred fifty-eight million, one hundred twenty-two thousand, two hundred forty".