103378000 has 160 divisors (see below), whose sum is σ = 282267648. Its totient is φ = 36288000.

The previous prime is 103377997. The next prime is 103378013. The reversal of 103378000 is 873301.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 813937 + ... + 814063.

Almost surely, 2^103378000 is an apocalyptic number.

103378000 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 103378000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141133824).

103378000 is an abundant number, since it is smaller than the sum of its proper divisors (178889648).

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

103378000 is a wasteful number, since it uses less digits than its factorization.

103378000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 22.

The square root of 103378000 is about 10167.4972338329. The cubic root of 103378000 is about 469.3275429368.

The spelling of 103378000 in words is "one hundred three million, three hundred seventy-eight thousand".