103077832 has 96 divisors (see below), whose sum is σ = 237168000. Its totient is φ = 41583360.

The previous prime is 103077823. The next prime is 103077847. The reversal of 103077832 is 238770301.

It is a junction number, because it is equal to n+sod(n) for n = 103077794 and 103077803.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 431169 + ... + 431407.

It is an arithmetic number, because the mean of its divisors is an integer number (2470500).

Almost surely, 2^103077832 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 103077832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118584000).

103077832 is an abundant number, since it is smaller than the sum of its proper divisors (134090168).

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

103077832 is a wasteful number, since it uses less digits than its factorization.

103077832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 31.

The square root of 103077832 is about 10152.7253483978. The cubic root of 103077832 is about 468.8728566387.

The spelling of 103077832 in words is "one hundred three million, seventy-seven thousand, eight hundred thirty-two".