106009743792 has 40 divisors (see below), whose sum is σ = 273924962224. Its totient is φ = 35328006144.

The previous prime is 106009743779. The next prime is 106009743863. The reversal of 106009743792 is 297347900601.

It is a happy number.

It is a super-2 number, since 2×106009743792² (a number of 23 digits) contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 66553 + ... + 465240.

Almost surely, 2^106009743792 is an apocalyptic number.

106009743792 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106009743792 is an abundant number, since it is smaller than the sum of its proper divisors (167915218432).

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

106009743792 is a wasteful number, since it uses less digits than its factorization.

106009743792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 535957 (or 535951 counting only the distinct ones).

The product of its (nonzero) digits is 571536, while the sum is 48.

The spelling of 106009743792 in words is "one hundred six billion, nine million, seven hundred forty-three thousand, seven hundred ninety-two".