103496713632 has 384 divisors, whose sum is σ = 331673771520. Its totient is φ = 31205744640.

The previous prime is 103496713603. The next prime is 103496713669. The reversal of 103496713632 is 236317694301.

103496713632 is a `hidden beast` number, since 1 + 0 + 3 + 4 + 9 + 6 + 7 + 1 + 3 + 632 = 666.

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 63 ways as a sum of consecutive naturals, for example, 185810698 + ... + 185811254.

It is an arithmetic number, because the mean of its divisors is an integer number (863733780).

Almost surely, 2^103496713632 is an apocalyptic number.

103496713632 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 103496713632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165836885760).

103496713632 is an abundant number, since it is smaller than the sum of its proper divisors (228177057888).

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

103496713632 is a wasteful number, since it uses less digits than its factorization.

103496713632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 893 (or 879 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 45.

The spelling of 103496713632 in words is "one hundred three billion, four hundred ninety-six million, seven hundred thirteen thousand, six hundred thirty-two".