103485951 has 32 divisors (see below), whose sum is σ = 164076800. Its totient is φ = 64268640.

The previous prime is 103485937. The next prime is 103485961. The reversal of 103485951 is 159584301.

It is not a de Polignac number, because 103485951 - 2¹⁷ = 103354879 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103485911) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29640 + ... + 32946.

It is an arithmetic number, because the mean of its divisors is an integer number (5127400).

Almost surely, 2^103485951 is an apocalyptic number.

103485951 is a deficient number, since it is larger than the sum of its proper divisors (60590849).

103485951 is a wasteful number, since it uses less digits than its factorization.

103485951 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3396 (or 3390 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The square root of 103485951 is about 10172.8044805747. The cubic root of 103485951 is about 469.4908489678.

The spelling of 103485951 in words is "one hundred three million, four hundred eighty-five thousand, nine hundred fifty-one".