107661120 has 224 divisors, whose sum is σ = 402140928. Its totient is φ = 23887872.

The previous prime is 107661097. The next prime is 107661131. The reversal of 107661120 is 21166701.

It is a tau number, because it is divible by the number of its divisors (224).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 248424 + ... + 248856.

It is an arithmetic number, because the mean of its divisors is an integer number (1795272).

Almost surely, 2^107661120 is an apocalyptic number.

107661120 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 107661120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201070464).

107661120 is an abundant number, since it is smaller than the sum of its proper divisors (294479808).

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

107661120 is a wasteful number, since it uses less digits than its factorization.

107661120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 497 (or 487 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 24.

The square root of 107661120 is about 10375.9876638323. The cubic root of 107661120 is about 475.7217025394.

The spelling of 107661120 in words is "one hundred seven million, six hundred sixty-one thousand, one hundred twenty".