107289936 has 120 divisors (see below), whose sum is σ = 332313800. Its totient is φ = 32099328.

The previous prime is 107289901. The next prime is 107289947. The reversal of 107289936 is 639982701.

It can be written as a sum of positive squares in 4 ways, for example, as 12110400 + 95179536 = 3480^2 + 9756^2 .

It is a super-2 number, since 2×107289936² = 23022260733768192, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 107289891 and 107289900.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 68490 + ... + 70038.

Almost surely, 2^107289936 is an apocalyptic number.

107289936 is a gapful number since it is divisible by the number (16) 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 107289936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166156900).

107289936 is an abundant number, since it is smaller than the sum of its proper divisors (225023864).

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

107289936 is a wasteful number, since it uses less digits than its factorization.

107289936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1613 (or 1604 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The square root of 107289936 is about 10358.0855373954. The cubic root of 107289936 is about 475.1743566749.

The spelling of 107289936 in words is "one hundred seven million, two hundred eighty-nine thousand, nine hundred thirty-six".