103366152 has 128 divisors (see below), whose sum is σ = 304128000. Its totient is φ = 32477760.

The previous prime is 103366141. The next prime is 103366169. The reversal of 103366152 is 251663301.

103366152 is a `hidden beast` number, since 10 + 3 + 36 + 615 + 2 = 666.

It is a super-2 number, since 2×103366152² = 21369122758574208, which contains 22 as substring.

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

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, 287749 + ... + 288107.

It is an arithmetic number, because the mean of its divisors is an integer number (2376000).

Almost surely, 2^103366152 is an apocalyptic number.

103366152 is a gapful number since it is divisible by the number (12) 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 103366152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152064000).

103366152 is an abundant number, since it is smaller than the sum of its proper divisors (200761848).

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

103366152 is a wasteful number, since it uses less digits than its factorization.

103366152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 103366152 is about 10166.9145762124. The cubic root of 103366152 is about 469.3096126061.

The spelling of 103366152 in words is "one hundred three million, three hundred sixty-six thousand, one hundred fifty-two".