103064832 has 288 divisors, whose sum is σ = 347970560. Its totient is φ = 29859840.

The previous prime is 103064821. The next prime is 103064837. The reversal of 103064832 is 238460301.

It is a happy number.

103064832 is a `hidden beast` number, since 10 + 3 + 0 + 648 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a junction number, because it is equal to n+sod(n) for n = 103064796 and 103064805.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103064837) 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, 2785518 + ... + 2785554.

Almost surely, 2^103064832 is an apocalyptic number.

103064832 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 103064832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173985280).

103064832 is an abundant number, since it is smaller than the sum of its proper divisors (244905728).

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

103064832 is a wasteful number, since it uses less digits than its factorization.

103064832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 103064832 is about 10152.0851060262. The cubic root of 103064832 is about 468.8531446622.

The spelling of 103064832 in words is "one hundred three million, sixty-four thousand, eight hundred thirty-two".