103252480 has 80 divisors (see below), whose sum is σ = 252566424. Its totient is φ = 40468480.

The previous prime is 103252477. The next prime is 103252483. The reversal of 103252480 is 84252301.

It is an interprime number because it is at equal distance from previous prime (103252477) and next prime (103252483).

It can be written as a sum of positive squares in 4 ways, for example, as 58736896 + 44515584 = 7664^2 + 6672^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×103252480² = 21322149252300800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (103252483) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 135300 + ... + 136060.

Almost surely, 2^103252480 is an apocalyptic number.

103252480 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 103252480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126283212).

103252480 is an abundant number, since it is smaller than the sum of its proper divisors (149313944).

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

103252480 is an frugal number, since it uses more digits than its factorization.

103252480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 837 (or 821 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 103252480 is about 10161.3227485402. The cubic root of 103252480 is about 469.1375158781.

The spelling of 103252480 in words is "one hundred three million, two hundred fifty-two thousand, four hundred eighty".