107603964 has 120 divisors (see below), whose sum is σ = 308782320. Its totient is φ = 32472576.

The previous prime is 107603963. The next prime is 107603981. The reversal of 107603964 is 469306701.

It is a super-2 number, since 2×107603964² = 23157226137026592, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107603963) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 248292 + ... + 248724.

It is an arithmetic number, because the mean of its divisors is an integer number (2573186).

Almost surely, 2^107603964 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 107603964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154391160).

107603964 is an abundant number, since it is smaller than the sum of its proper divisors (201178356).

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

107603964 is a wasteful number, since it uses less digits than its factorization.

107603964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 521 (or 510 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 107603964 is about 10373.2330543568. The cubic root of 107603964 is about 475.6375026514.

The spelling of 107603964 in words is "one hundred seven million, six hundred three thousand, nine hundred sixty-four".