103977000 has 128 divisors (see below), whose sum is σ = 360547200. Its totient is φ = 27720000.

The previous prime is 103976963. The next prime is 103977011. The reversal of 103977000 is 779301.

It is a super-2 number, since 2×103977000² = 21622433058000000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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, 25075 + ... + 28925.

It is an arithmetic number, because the mean of its divisors is an integer number (2816775).

Almost surely, 2^103977000 is an apocalyptic number.

103977000 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 103977000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180273600).

103977000 is an abundant number, since it is smaller than the sum of its proper divisors (256570200).

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

103977000 is a wasteful number, since it uses less digits than its factorization.

103977000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3881 (or 3861 counting only the distinct ones).

The product of its (nonzero) digits is 1323, while the sum is 27.

The square root of 103977000 is about 10196.9112970546. The cubic root of 103977000 is about 470.2322678743.

The spelling of 103977000 in words is "one hundred three million, nine hundred seventy-seven thousand".