103007632 has 80 divisors (see below), whose sum is σ = 247484160. Its totient is φ = 40444416.

The previous prime is 103007629. The next prime is 103007633. The reversal of 103007632 is 236700301.

It is a super-2 number, since 2×103007632² = 21221144500494848, which contains 22 as substring.

It is a nialpdrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103007633) 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 15 ways as a sum of consecutive naturals, for example, 382794 + ... + 383062.

It is an arithmetic number, because the mean of its divisors is an integer number (3093552).

Almost surely, 2^103007632 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103007632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123742080).

103007632 is an abundant number, since it is smaller than the sum of its proper divisors (144476528).

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

103007632 is a wasteful number, since it uses less digits than its factorization.

103007632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 560 (or 554 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 22.

The square root of 103007632 is about 10149.2675597799. The cubic root of 103007632 is about 468.7663922682.

Adding to 103007632 its reverse (236700301), we get a palindrome (339707933).

The spelling of 103007632 in words is "one hundred three million, seven thousand, six hundred thirty-two".