105233387831 has 64 divisors (see below), whose sum is σ = 127287853056. Its totient is φ = 85748544000.

The previous prime is 105233387789. The next prime is 105233387843. The reversal of 105233387831 is 138783332501.

It is a cyclic number.

It is not a de Polignac number, because 105233387831 - 2⁶ = 105233387767 is a prime.

It is a super-2 number, since 2×105233387831² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105233387881) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 188928605 + ... + 188929161.

It is an arithmetic number, because the mean of its divisors is an integer number (1988872704).

Almost surely, 2^105233387831 is an apocalyptic number.

105233387831 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

105233387831 is a deficient number, since it is larger than the sum of its proper divisors (22054465225).

105233387831 is a wasteful number, since it uses less digits than its factorization.

105233387831 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 912.

The product of its (nonzero) digits is 362880, while the sum is 44.

The spelling of 105233387831 in words is "one hundred five billion, two hundred thirty-three million, three hundred eighty-seven thousand, eight hundred thirty-one".