105537551643 has 32 divisors (see below), whose sum is σ = 158274043200. Its totient is φ = 69495072768.

The previous prime is 105537551611. The next prime is 105537551699. The reversal of 105537551643 is 346155735501.

105537551643 is a `hidden beast` number, since 1 + 0 + 5 + 5 + 37 + 551 + 64 + 3 = 666.

It is not a de Polignac number, because 105537551643 - 2⁵ = 105537551611 is a prime.

It is a super-2 number, since 2×105537551643² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105537551843) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2325255 + ... + 2370207.

It is an arithmetic number, because the mean of its divisors is an integer number (4946063850).

Almost surely, 2^105537551643 is an apocalyptic number.

105537551643 is a deficient number, since it is larger than the sum of its proper divisors (52736491557).

105537551643 is an equidigital number, since it uses as much as digits as its factorization.

105537551643 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46028 (or 46022 counting only the distinct ones).

The product of its (nonzero) digits is 945000, while the sum is 45.

The spelling of 105537551643 in words is "one hundred five billion, five hundred thirty-seven million, five hundred fifty-one thousand, six hundred forty-three".