106675465320 has 128 divisors (see below), whose sum is σ = 361414368000. Its totient is φ = 27980432640.

The previous prime is 106675465289. The next prime is 106675465397. The reversal of 106675465320 is 23564576601.

106675465320 is a `hidden beast` number, since 1 + 0 + 6 + 6 + 75 + 46 + 532 + 0 = 666.

It is a super-2 number, since 2×106675465320² (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 an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 743740 + ... + 875499.

It is an arithmetic number, because the mean of its divisors is an integer number (2823549750).

Almost surely, 2^106675465320 is an apocalyptic number.

106675465320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106675465320 is an abundant number, since it is smaller than the sum of its proper divisors (254738902680).

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

106675465320 is a wasteful number, since it uses less digits than its factorization.

106675465320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1619320 (or 1619310 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 106675465320 in words is "one hundred six billion, six hundred seventy-five million, four hundred sixty-five thousand, three hundred twenty".