107561964 has 48 divisors (see below), whose sum is σ = 266716800. Its totient is φ = 33641856.

The previous prime is 107561959. The next prime is 107561969. The reversal of 107561964 is 469165701.

It is an interprime number because it is at equal distance from previous prime (107561959) and next prime (107561969).

It is a super-3 number, since 3×107561964³ (a number of 25 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (107561969) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22192 + ... + 26600.

It is an arithmetic number, because the mean of its divisors is an integer number (5556600).

Almost surely, 2^107561964 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 107561964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133358400).

107561964 is an abundant number, since it is smaller than the sum of its proper divisors (159154836).

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

107561964 is a wasteful number, since it uses less digits than its factorization.

107561964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4542 (or 4540 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 39.

The square root of 107561964 is about 10371.2084156091. The cubic root of 107561964 is about 475.5756109576.

It can be divided in two parts, 10756 and 1964, that added together give a triangular number (12720 = T₁₅₉).

The spelling of 107561964 in words is "one hundred seven million, five hundred sixty-one thousand, nine hundred sixty-four".