103451712 has 224 divisors, whose sum is σ = 349569024. Its totient is φ = 26265600.

The previous prime is 103451701. The next prime is 103451717. The reversal of 103451712 is 217154301.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (103451717) 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, 541537 + ... + 541727.

It is an arithmetic number, because the mean of its divisors is an integer number (1560576).

Almost surely, 2^103451712 is an apocalyptic number.

103451712 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 103451712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174784512).

103451712 is an abundant number, since it is smaller than the sum of its proper divisors (246117312).

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

103451712 is a wasteful number, since it uses less digits than its factorization.

103451712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 24.

The square root of 103451712 is about 10171.1214720895. The cubic root of 103451712 is about 469.4390652227.

The spelling of 103451712 in words is "one hundred three million, four hundred fifty-one thousand, seven hundred twelve".