106830480465 has 24 divisors (see below), whose sum is σ = 185856148608. Its totient is φ = 56766005280.

The previous prime is 106830480437. The next prime is 106830480503. The reversal of 106830480465 is 564084038601.

106830480465 is a `hidden beast` number, since 106 + 8 + 3 + 0 + 4 + 80 + 465 = 666.

It is not a de Polignac number, because 106830480465 - 2⁸ = 106830480209 is a prime.

It is a super-2 number, since 2×106830480465² (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 self number, because there is not a number n which added to its sum of digits gives 106830480465.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4367899 + ... + 4392288.

It is an arithmetic number, because the mean of its divisors is an integer number (7744006192).

Almost surely, 2^106830480465 is an apocalyptic number.

106830480465 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

106830480465 is a deficient number, since it is larger than the sum of its proper divisors (79025668143).

106830480465 is a wasteful number, since it uses less digits than its factorization.

106830480465 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8760469 (or 8760466 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 106830480465 in words is "one hundred six billion, eight hundred thirty million, four hundred eighty thousand, four hundred sixty-five".