105500057652 has 72 divisors (see below), whose sum is σ = 291803689632. Its totient is φ = 31873089600.

The previous prime is 105500057627. The next prime is 105500057653. The reversal of 105500057652 is 256750005501.

It is a happy number.

105500057652 is a `hidden beast` number, since 1 + 0 + 550 + 0 + 0 + 57 + 6 + 52 = 666.

It is a super-2 number, since 2×105500057652² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105500057653) 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, 271363 + ... + 533514.

Almost surely, 2^105500057652 is an apocalyptic number.

105500057652 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105500057652 is an abundant number, since it is smaller than the sum of its proper divisors (186303631980).

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

105500057652 is a wasteful number, since it uses less digits than its factorization.

105500057652 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 805229 (or 805224 counting only the distinct ones).

The product of its (nonzero) digits is 52500, while the sum is 36.

The spelling of 105500057652 in words is "one hundred five billion, five hundred million, fifty-seven thousand, six hundred fifty-two".