106004552040 has 128 divisors (see below), whose sum is σ = 354555532800. Its totient is φ = 28171319040.

The previous prime is 106004552021. The next prime is 106004552077. The reversal of 106004552040 is 40255400601.

106004552040 is a `hidden beast` number, since 1 + 0 + 6 + 0 + 0 + 455 + 204 + 0 = 666.

It is a super-2 number, since 2×106004552040² (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 a junction number, because it is equal to n+sod(n) for n = 106004551995 and 106004552013.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 148945 + ... + 483935.

It is an arithmetic number, because the mean of its divisors is an integer number (2769965100).

Almost surely, 2^106004552040 is an apocalyptic number.

106004552040 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 106004552040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177277766400).

106004552040 is an abundant number, since it is smaller than the sum of its proper divisors (248550980760).

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

106004552040 is a wasteful number, since it uses less digits than its factorization.

106004552040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335304 (or 335294 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 106004552040 its reverse (40255400601), we get a palindrome (146259952641).

The spelling of 106004552040 in words is "one hundred six billion, four million, five hundred fifty-two thousand, forty".