107101120 has 112 divisors (see below), whose sum is σ = 294436800. Its totient is φ = 36347904.

The previous prime is 107101103. The next prime is 107101153. The reversal of 107101120 is 21101701.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×107101120² = 22941299810508800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 107101120.

It is a congruent number.

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, 306706 + ... + 307054.

It is an arithmetic number, because the mean of its divisors is an integer number (2628900).

Almost surely, 2^107101120 is an apocalyptic number.

107101120 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 107101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147218400).

107101120 is an abundant number, since it is smaller than the sum of its proper divisors (187335680).

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

107101120 is a wasteful number, since it uses less digits than its factorization.

107101120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 510 (or 500 counting only the distinct ones).

The product of its (nonzero) digits is 14, while the sum is 13.

The square root of 107101120 is about 10348.9670982181. The cubic root of 107101120 is about 474.8954451316.

Adding to 107101120 its reverse (21101701), we get a palindrome (128202821).

The spelling of 107101120 in words is "one hundred seven million, one hundred one thousand, one hundred twenty".