105883042272 has 48 divisors (see below), whose sum is σ = 317649128832. Its totient is φ = 30252297600.

The previous prime is 105883042271. The next prime is 105883042277. The reversal of 105883042272 is 272240388501.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×105883042272² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105883042271) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 78781354 + ... + 78782697.

It is an arithmetic number, because the mean of its divisors is an integer number (6617690184).

Almost surely, 2^105883042272 is an apocalyptic number.

105883042272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105883042272 is an abundant number, since it is smaller than the sum of its proper divisors (211766086560).

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

105883042272 is a wasteful number, since it uses less digits than its factorization.

105883042272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157564071 (or 157564063 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 42.

The spelling of 105883042272 in words is "one hundred five billion, eight hundred eighty-three million, forty-two thousand, two hundred seventy-two".