106778960 has 20 divisors (see below), whose sum is σ = 248261268. Its totient is φ = 42711552.

The previous prime is 106778953. The next prime is 106778963. The reversal of 106778960 is 69877601.

It can be written as a sum of positive squares in 2 ways, for example, as 24840256 + 81938704 = 4984^2 + 9052^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×106778960² = 22803492597363200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106778963) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 667289 + ... + 667448.

Almost surely, 2^106778960 is an apocalyptic number.

106778960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106778960 is an abundant number, since it is smaller than the sum of its proper divisors (141482308).

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

106778960 is a wasteful number, since it uses less digits than its factorization.

106778960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1334750 (or 1334744 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 44.

The square root of 106778960 is about 10333.3905374761. The cubic root of 106778960 is about 474.4188053178.

The spelling of 106778960 in words is "one hundred six million, seven hundred seventy-eight thousand, nine hundred sixty".