103472640 has 200 divisors, whose sum is σ = 371349000. Its totient is φ = 27537408.

The previous prime is 103472639. The next prime is 103472641. The reversal of 103472640 is 46274301.

103472640 is a `hidden beast` number, since 10 + 3 + 4 + 7 + 2 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (103472639) and next prime (103472641).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103472641) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 207111 + ... + 207609.

It is an arithmetic number, because the mean of its divisors is an integer number (1856745).

Almost surely, 2^103472640 is an apocalyptic number.

103472640 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 103472640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185674500).

103472640 is an abundant number, since it is smaller than the sum of its proper divisors (267876360).

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

103472640 is an frugal number, since it uses more digits than its factorization.

103472640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 534 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 103472640 is about 10172.1502151708. The cubic root of 103472640 is about 469.4707185037.

The spelling of 103472640 in words is "one hundred three million, four hundred seventy-two thousand, six hundred forty".