106400574628113 has 8 divisors (see below), whose sum is σ = 141870443220000. Its totient is φ = 70932211227488.

The previous prime is 106400574628109. The next prime is 106400574628123. The reversal of 106400574628113 is 311826475004601.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 106400574628113 - 2² = 106400574628109 is a prime.

It is a super-2 number, since 2×106400574628113² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106400574628123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 376132863 + ... + 376415636.

It is an arithmetic number, because the mean of its divisors is an integer number (17733805402500).

Almost surely, 2^{106400574628113} is an apocalyptic number.

It is an amenable number.

106400574628113 is a deficient number, since it is larger than the sum of its proper divisors (35469868591887).

106400574628113 is an equidigital number, since it uses as much as digits as its factorization.

106400574628113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 752595631.

The product of its (nonzero) digits is 967680, while the sum is 48.

The spelling of 106400574628113 in words is "one hundred six trillion, four hundred billion, five hundred seventy-four million, six hundred twenty-eight thousand, one hundred thirteen".