103655187072 has 384 divisors, whose sum is σ = 324849208320. Its totient is φ = 31629312000.

The previous prime is 103655187029. The next prime is 103655187073. The reversal of 103655187072 is 270781556301.

It is a happy number.

103655187072 is a `hidden beast` number, since 1 + 0 + 3 + 65 + 518 + 7 + 0 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is not an unprimeable number, because it can be changed into a prime (103655187073) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 79672822 + ... + 79674122.

It is an arithmetic number, because the mean of its divisors is an integer number (845961480).

Almost surely, 2^103655187072 is an apocalyptic number.

103655187072 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 103655187072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162424604160).

103655187072 is an abundant number, since it is smaller than the sum of its proper divisors (221194021248).

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

103655187072 is a wasteful number, since it uses less digits than its factorization.

103655187072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1472 (or 1457 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 45.

The spelling of 103655187072 in words is "one hundred three billion, six hundred fifty-five million, one hundred eighty-seven thousand, seventy-two".