103419792 has 90 divisors (see below), whose sum is σ = 336708918. Its totient is φ = 29546496.

The previous prime is 103419791. The next prime is 103419809. The reversal of 103419792 is 297914301.

It can be written as a sum of positive squares in only one way, i.e., 103306896 + 112896 = 10164^2 + 336^2 .

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

It is not an unprimeable number, because it can be changed into a prime (103419791) 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 17 ways as a sum of consecutive naturals, for example, 273 + ... + 14384.

Almost surely, 2^103419792 is an apocalyptic number.

103419792 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 103419792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168354459).

103419792 is an abundant number, since it is smaller than the sum of its proper divisors (233289126).

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

103419792 is a wasteful number, since it uses less digits than its factorization.

103419792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14685 (or 14669 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 103419792 is about 10169.5522025308. The cubic root of 103419792 is about 469.3907784871.

It can be divided in two parts, 1034197 and 92, that added together give a square (1034289 = 1017²).

The spelling of 103419792 in words is "one hundred three million, four hundred nineteen thousand, seven hundred ninety-two".