107946000 has 160 divisors (see below), whose sum is σ = 386880000. Its totient is φ = 28771200.

The previous prime is 107945993. The next prime is 107946017. The reversal of 107946000 is 649701.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53001 + ... + 54999.

It is an arithmetic number, because the mean of its divisors is an integer number (2418000).

Almost surely, 2^107946000 is an apocalyptic number.

107946000 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 107946000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193440000).

107946000 is an abundant number, since it is smaller than the sum of its proper divisors (278934000).

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

107946000 is a wasteful number, since it uses less digits than its factorization.

107946000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2031 (or 2009 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 107946000 is about 10389.7064443612. The cubic root of 107946000 is about 476.1409323058.

The spelling of 107946000 in words is "one hundred seven million, nine hundred forty-six thousand".