106733438460 has 72 divisors (see below), whose sum is σ = 353190657456. Its totient is φ = 25874772480.

The previous prime is 106733438459. The next prime is 106733438479. The reversal of 106733438460 is 64834337601.

106733438460 is a `hidden beast` number, since 106 + 73 + 3 + 438 + 46 + 0 = 666.

It is a super-2 number, since 2×106733438460² (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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26950909 + ... + 26954868.

It is an arithmetic number, because the mean of its divisors is an integer number (4905425798).

Almost surely, 2^106733438460 is an apocalyptic number.

106733438460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106733438460 is an abundant number, since it is smaller than the sum of its proper divisors (246457218996).

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

106733438460 is a wasteful number, since it uses less digits than its factorization.

106733438460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53905803 (or 53905798 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 106733438460 in words is "one hundred six billion, seven hundred thirty-three million, four hundred thirty-eight thousand, four hundred sixty".