106929284994 has 288 divisors, whose sum is σ = 287758209024. Its totient is φ = 28565369280.

The previous prime is 106929284993. The next prime is 106929284999. The reversal of 106929284994 is 499482929601.

It is a super-2 number, since 2×106929284994² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (106929284993) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 121097277 + ... + 121098159.

It is an arithmetic number, because the mean of its divisors is an integer number (999160448).

Almost surely, 2^106929284994 is an apocalyptic number.

106929284994 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 106929284994, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143879104512).

106929284994 is an abundant number, since it is smaller than the sum of its proper divisors (180828924030).

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

106929284994 is a wasteful number, since it uses less digits than its factorization.

106929284994 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1082 (or 1072 counting only the distinct ones).

The product of its (nonzero) digits is 20155392, while the sum is 63.

The spelling of 106929284994 in words is "one hundred six billion, nine hundred twenty-nine million, two hundred eighty-four thousand, nine hundred ninety-four".