107640000 has 420 divisors, whose sum is σ = 433248816. Its totient is φ = 25344000.

The previous prime is 107639981. The next prime is 107640019. The reversal of 107640000 is 46701.

It is an interprime number because it is at equal distance from previous prime (107639981) and next prime (107640019).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 4679989 + ... + 4680011.

Almost surely, 2^107640000 is an apocalyptic number.

107640000 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 107640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216624408).

107640000 is an abundant number, since it is smaller than the sum of its proper divisors (325608816).

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

107640000 is a wasteful number, since it uses less digits than its factorization.

107640000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 107640000 is about 10374.9698794743. The cubic root of 107640000 is about 475.6905928890.

Adding to 107640000 its reverse (46701), we get a palindrome (107686701).

The spelling of 107640000 in words is "one hundred seven million, six hundred forty thousand".