103628151 has 36 divisors (see below), whose sum is σ = 168432264. Its totient is φ = 61316640.

The previous prime is 103628137. The next prime is 103628167. The reversal of 103628151 is 151826301.

It is not a de Polignac number, because 103628151 - 2¹⁸ = 103366007 is a prime.

It is a super-3 number, since 3×103628151³ (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103628101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 45721 + ... + 47933.

It is an arithmetic number, because the mean of its divisors is an integer number (4678674).

Almost surely, 2^103628151 is an apocalyptic number.

103628151 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

103628151 is a deficient number, since it is larger than the sum of its proper divisors (64804113).

103628151 is a wasteful number, since it uses less digits than its factorization.

103628151 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2284 (or 2270 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 103628151 is about 10179.7913043441. The cubic root of 103628151 is about 469.7057929364.

The spelling of 103628151 in words is "one hundred three million, six hundred twenty-eight thousand, one hundred fifty-one".