106386147045 has 48 divisors (see below), whose sum is σ = 190394740224. Its totient is φ = 54896400000.

The previous prime is 106386147037. The next prime is 106386147053. The reversal of 106386147045 is 540741683601.

106386147045 is a `hidden beast` number, since 1 + 0 + 63 + 86 + 1 + 470 + 45 = 666.

It is an interprime number because it is at equal distance from previous prime (106386147037) and next prime (106386147053).

It is not a de Polignac number, because 106386147045 - 2³ = 106386147037 is a prime.

It is a super-2 number, since 2×106386147045² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 11854410 + ... + 11863380.

It is an arithmetic number, because the mean of its divisors is an integer number (3966557088).

Almost surely, 2^106386147045 is an apocalyptic number.

106386147045 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

106386147045 is a deficient number, since it is larger than the sum of its proper divisors (84008593179).

106386147045 is a wasteful number, since it uses less digits than its factorization.

106386147045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17514 (or 17511 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 106386147045 in words is "one hundred six billion, three hundred eighty-six million, one hundred forty-seven thousand, forty-five".