106654590345 has 16 divisors (see below), whose sum is σ = 170651780352. Its totient is φ = 56880969600.

The previous prime is 106654590331. The next prime is 106654590353. The reversal of 106654590345 is 543095456601.

It is not a de Polignac number, because 106654590345 - 2⁵ = 106654590313 is a prime.

It is a super-2 number, since 2×106654590345² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106654590294 and 106654590303.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 753904 + ... + 884126.

It is an arithmetic number, because the mean of its divisors is an integer number (10665736272).

Almost surely, 2^106654590345 is an apocalyptic number.

106654590345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

106654590345 is a deficient number, since it is larger than the sum of its proper divisors (63997190007).

106654590345 is a wasteful number, since it uses less digits than its factorization.

106654590345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184832.

The product of its (nonzero) digits is 1944000, while the sum is 48.

The spelling of 106654590345 in words is "one hundred six billion, six hundred fifty-four million, five hundred ninety thousand, three hundred forty-five".