103692064672 has 384 divisors, whose sum is σ = 272142581760. Its totient is φ = 37815828480.

The previous prime is 103692064613. The next prime is 103692064687. The reversal of 103692064672 is 276460296301.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 186161418 + ... + 186161974.

It is an arithmetic number, because the mean of its divisors is an integer number (708704640).

Almost surely, 2^103692064672 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 103692064672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136071290880).

103692064672 is an abundant number, since it is smaller than the sum of its proper divisors (168450517088).

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

103692064672 is a wasteful number, since it uses less digits than its factorization.

103692064672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 724 (or 716 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 46.

The spelling of 103692064672 in words is "one hundred three billion, six hundred ninety-two million, sixty-four thousand, six hundred seventy-two".