103161600 has 270 divisors, whose sum is σ = 383352200. Its totient is φ = 27371520.

The previous prime is 103161557. The next prime is 103161623. The reversal of 103161600 is 6161301.

103161600 is a `hidden beast` number, since 1 + 0 + 3 + 1 + 61 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (270).

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 29 ways as a sum of consecutive naturals, for example, 518301 + ... + 518499.

Almost surely, 2^103161600 is an apocalyptic number.

103161600 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 103161600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191676100).

103161600 is an abundant number, since it is smaller than the sum of its proper divisors (280190600).

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

103161600 is an equidigital number, since it uses as much as digits as its factorization.

103161600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 103161600 is about 10156.8499053594. The cubic root of 103161600 is about 468.9998348191. Note that the first 3 decimals are identical.

The spelling of 103161600 in words is "one hundred three million, one hundred sixty-one thousand, six hundred".