107048000 has 56 divisors (see below), whose sum is σ = 265124184. Its totient is φ = 42816000.

The previous prime is 107047987. The next prime is 107048017. The reversal of 107048000 is 840701.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 18386944 + 88661056 = 4288^2 + 9416^2 .

It is a super-2 number, since 2×107048000² = 22918548608000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1310 + ... + 14690.

Almost surely, 2^107048000 is an apocalyptic number.

107048000 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 107048000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132562092).

107048000 is an abundant number, since it is smaller than the sum of its proper divisors (158076184).

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

107048000 is an equidigital number, since it uses as much as digits as its factorization.

107048000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13408 (or 13388 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 20.

The square root of 107048000 is about 10346.4003402149. The cubic root of 107048000 is about 474.8169192867.

Adding to 107048000 its reverse (840701), we get a palindrome (107888701).

The spelling of 107048000 in words is "one hundred seven million, forty-eight thousand".