106004103840 has 1152 divisors, whose sum is σ = 437476515840. Its totient is φ = 24043143168.

The previous prime is 106004103833. The next prime is 106004103901. The reversal of 106004103840 is 48301400601.

106004103840 is a `hidden beast` number, since 1 + 0 + 600 + 4 + 10 + 3 + 8 + 40 = 666.

It is a super-2 number, since 2×106004103840² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 288839337 + ... + 288839703.

It is an arithmetic number, because the mean of its divisors is an integer number (379753920).

Almost surely, 2^106004103840 is an apocalyptic number.

106004103840 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 106004103840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218738257920).

106004103840 is an abundant number, since it is smaller than the sum of its proper divisors (331472412000).

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

106004103840 is a wasteful number, since it uses less digits than its factorization.

106004103840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456 (or 436 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 106004103840 in words is "one hundred six billion, four million, one hundred three thousand, eight hundred forty".