107401104 has 120 divisors (see below), whose sum is σ = 323151192. Its totient is φ = 33177600.

The previous prime is 107401097. The next prime is 107401109. The reversal of 107401104 is 401104701.

It can be written as a sum of positive squares in 4 ways, for example, as 51151104 + 56250000 = 7152^2 + 7500^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (107401109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 178404 + ... + 179004.

Almost surely, 2^107401104 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 107401104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161575596).

107401104 is an abundant number, since it is smaller than the sum of its proper divisors (215750088).

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

107401104 is a wasteful number, since it uses less digits than its factorization.

107401104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 705 (or 696 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 107401104 is about 10363.4503906759. The cubic root of 107401104 is about 475.3384166381.

Adding to 107401104 its reverse (401104701), we get a palindrome (508505805).

The spelling of 107401104 in words is "one hundred seven million, four hundred one thousand, one hundred four".