106927776 has 72 divisors (see below), whose sum is σ = 315360864. Its totient is φ = 35640000.

The previous prime is 106927771. The next prime is 106927787. The reversal of 106927776 is 677729601.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×106927776² = 22867098560612352, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106927771) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 901 + ... + 14651.

It is an arithmetic number, because the mean of its divisors is an integer number (4380012).

Almost surely, 2^106927776 is an apocalyptic number.

106927776 is a gapful number since it is divisible by the number (16) 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 106927776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157680432).

106927776 is an abundant number, since it is smaller than the sum of its proper divisors (208433088).

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

106927776 is an equidigital number, since it uses as much as digits as its factorization.

106927776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13776 (or 13756 counting only the distinct ones).

The product of its (nonzero) digits is 222264, while the sum is 45.

The square root of 106927776 is about 10340.5887646691. The cubic root of 106927776 is about 474.6390994525.

The spelling of 106927776 in words is "one hundred six million, nine hundred twenty-seven thousand, seven hundred seventy-six".