109777248 has 144 divisors (see below), whose sum is σ = 372602160. Its totient is φ = 31352832.

The previous prime is 109777219. The next prime is 109777253. The reversal of 109777248 is 842777901.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41040 + ... + 43632.

It is an arithmetic number, because the mean of its divisors is an integer number (2587515).

Almost surely, 2^109777248 is an apocalyptic number.

109777248 is a gapful number since it is divisible by the number (18) 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 109777248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186301080).

109777248 is an abundant number, since it is smaller than the sum of its proper divisors (262824912).

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

109777248 is a wasteful number, since it uses less digits than its factorization.

109777248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2626 (or 2605 counting only the distinct ones).

The product of its (nonzero) digits is 197568, while the sum is 45.

The square root of 109777248 is about 10477.4638152561. The cubic root of 109777248 is about 478.8183434031.

It can be divided in two parts, 10977 and 7248, that added together give a square (18225 = 135²).

The spelling of 109777248 in words is "one hundred nine million, seven hundred seventy-seven thousand, two hundred forty-eight".