103285953792 has 270 divisors, whose sum is σ = 358266003018. Its totient is φ = 29509982208.

The previous prime is 103285953779. The next prime is 103285953811. The reversal of 103285953792 is 297359582301.

103285953792 is a `hidden beast` number, since 10 + 3 + 2 + 8 + 5 + 9 + 537 + 92 = 666.

It can be written as a sum of positive squares in only one way, i.e., 102748455936 + 537497856 = 320544^2 + 23184^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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 29 ways as a sum of consecutive naturals, for example, 965238 + ... + 1066890.

Almost surely, 2^103285953792 is an apocalyptic number.

103285953792 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 103285953792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179133001509).

103285953792 is an abundant number, since it is smaller than the sum of its proper divisors (254980049226).

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

103285953792 is an equidigital number, since it uses as much as digits as its factorization.

103285953792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101695 (or 101665 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 54.

The spelling of 103285953792 in words is "one hundred three billion, two hundred eighty-five million, nine hundred fifty-three thousand, seven hundred ninety-two".