106449893760 has 256 divisors, whose sum is σ = 389933107200. Its totient is φ = 24196423680.

The previous prime is 106449893749. The next prime is 106449893807. The reversal of 106449893760 is 67398944601.

It is a super-2 number, since 2×106449893760² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106449893760.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2410761 + ... + 2454519.

It is an arithmetic number, because the mean of its divisors is an integer number (1523176200).

Almost surely, 2^106449893760 is an apocalyptic number.

106449893760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106449893760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194966553600).

106449893760 is an abundant number, since it is smaller than the sum of its proper divisors (283483213440).

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

106449893760 is a wasteful number, since it uses less digits than its factorization.

106449893760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43969 (or 43957 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 57.

The spelling of 106449893760 in words is "one hundred six billion, four hundred forty-nine million, eight hundred ninety-three thousand, seven hundred sixty".