103720067136 has 567 divisors, whose sum is σ = 364245001887. Its totient is φ = 29216920320.

The previous prime is 103720067107. The next prime is 103720067153. The reversal of 103720067136 is 631760027301.

The square root of 103720067136 is 322056.

It is a perfect power (a square), and thus also a powerful number.

It is a tau number, because it is divible by the number of its divisors (567).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 103720067136.

It is an unprimeable number.

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 80 ways as a sum of consecutive naturals, for example, 1460845981 + ... + 1460846051.

Almost surely, 2^103720067136 is an apocalyptic number.

103720067136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

103720067136 is the 322056-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103720067136

103720067136 is an abundant number, since it is smaller than the sum of its proper divisors (260524934751).

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

103720067136 is an frugal number, since it uses more digits than its factorization.

103720067136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

Multiplying 103720067136 by its sum of digits (36), we get a square (3733922416896 = 1932336²).

103720067136 divided by its sum of digits (36) gives a square (2881112976 = 53676²).

The spelling of 103720067136 in words is "one hundred three billion, seven hundred twenty million, sixty-seven thousand, one hundred thirty-six".