107679000 has 256 divisors, whose sum is σ = 396264960. Its totient is φ = 24000000.

The previous prime is 107678999. The next prime is 107679007. The reversal of 107679000 is 976701.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107679007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 428875 + ... + 429125.

It is an arithmetic number, because the mean of its divisors is an integer number (1547910).

Almost surely, 2^107679000 is an apocalyptic number.

107679000 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 107679000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198132480).

107679000 is an abundant number, since it is smaller than the sum of its proper divisors (288585960).

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

107679000 is a wasteful number, since it uses less digits than its factorization.

107679000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 2646, while the sum is 30.

The square root of 107679000 is about 10376.8492327874. The cubic root of 107679000 is about 475.7480365066.

The spelling of 107679000 in words is "one hundred seven million, six hundred seventy-nine thousand".