106798080 has 176 divisors, whose sum is σ = 362564640. Its totient is φ = 26738688.

The previous prime is 106798073. The next prime is 106798093. The reversal of 106798080 is 80897601.

It is a super-2 number, since 2×106798080² = 22811659783372800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 260916 + ... + 261324.

Almost surely, 2^106798080 is an apocalyptic number.

106798080 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 106798080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181282320).

106798080 is an abundant number, since it is smaller than the sum of its proper divisors (255766560).

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

106798080 is a wasteful number, since it uses less digits than its factorization.

106798080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454 (or 436 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 39.

The square root of 106798080 is about 10334.3156522336. The cubic root of 106798080 is about 474.4471203410.

The spelling of 106798080 in words is "one hundred six million, seven hundred ninety-eight thousand, eighty".