106053269580 has 72 divisors (see below), whose sum is σ = 321826351392. Its totient is φ = 28269317376.

The previous prime is 106053269579. The next prime is 106053269587. The reversal of 106053269580 is 85962350601.

106053269580 is a `hidden beast` number, since 1 + 0 + 6 + 0 + 5 + 3 + 2 + 69 + 580 = 666.

It is a super-2 number, since 2×106053269580² (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 not an unprimeable number, because it can be changed into a prime (106053269587) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 326017 + ... + 564263.

It is an arithmetic number, because the mean of its divisors is an integer number (4469810436).

Almost surely, 2^106053269580 is an apocalyptic number.

106053269580 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106053269580 is an abundant number, since it is smaller than the sum of its proper divisors (215773081812).

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

106053269580 is a wasteful number, since it uses less digits than its factorization.

106053269580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240735 (or 240730 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 106053269580 in words is "one hundred six billion, fifty-three million, two hundred sixty-nine thousand, five hundred eighty".