107101248 has 112 divisors (see below), whose sum is σ = 300410880. Its totient is φ = 33606144.

The previous prime is 107101223. The next prime is 107101283. The reversal of 107101248 is 842101701.

It is a super-2 number, since 2×107101248² = 22941354646315008, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 348711 + ... + 349017.

It is an arithmetic number, because the mean of its divisors is an integer number (2682240).

Almost surely, 2^107101248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107101248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150205440).

107101248 is an abundant number, since it is smaller than the sum of its proper divisors (193309632).

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

107101248 is a wasteful number, since it uses less digits than its factorization.

107101248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 424 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 24.

The square root of 107101248 is about 10348.9732824083. The cubic root of 107101248 is about 474.8956343191.

Adding to 107101248 its reverse (842101701), we get a palindrome (949202949).

The spelling of 107101248 in words is "one hundred seven million, one hundred one thousand, two hundred forty-eight".