106243786272 has 96 divisors (see below), whose sum is σ = 310031608320. Its totient is φ = 31635855360.

The previous prime is 106243786249. The next prime is 106243786283. The reversal of 106243786272 is 272687342601.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×106243786272² (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1334397 + ... + 1411772.

It is an arithmetic number, because the mean of its divisors is an integer number (3229495920).

Almost surely, 2^106243786272 is an apocalyptic number.

106243786272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106243786272 is an abundant number, since it is smaller than the sum of its proper divisors (203787822048).

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

106243786272 is a wasteful number, since it uses less digits than its factorization.

106243786272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2746226 (or 2746218 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 48.

The spelling of 106243786272 in words is "one hundred six billion, two hundred forty-three million, seven hundred eighty-six thousand, two hundred seventy-two".