106304146442505 has 24 divisors (see below), whose sum is σ = 201011476910400. Its totient is φ = 51541404335520.

The previous prime is 106304146442491. The next prime is 106304146442509. The reversal of 106304146442505 is 505244641403601.

106304146442505 is a `hidden beast` number, since 1 + 0 + 6 + 3 + 0 + 41 + 4 + 64 + 42 + 505 = 666.

It is not a de Polignac number, because 106304146442505 - 2⁶ = 106304146442441 is a prime.

It is a super-2 number, since 2×106304146442505² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (106304146442509) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 107377925205 + ... + 107377926194.

It is an arithmetic number, because the mean of its divisors is an integer number (8375478204600).

Almost surely, 2^{106304146442505} is an apocalyptic number.

106304146442505 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

106304146442505 is a deficient number, since it is larger than the sum of its proper divisors (94707330467895).

106304146442505 is a wasteful number, since it uses less digits than its factorization.

106304146442505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214755851421 (or 214755851418 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 45.

The spelling of 106304146442505 in words is "one hundred six trillion, three hundred four billion, one hundred forty-six million, four hundred forty-two thousand, five hundred five".