103577940 has 120 divisors (see below), whose sum is σ = 344132712. Its totient is φ = 25989120.

The previous prime is 103577921. The next prime is 103577951. The reversal of 103577940 is 49775301.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 18974736 + 84603204 = 4356^2 + 9198^2 .

It is a super-3 number, since 3×103577940³ (a number of 25 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 103577895 and 103577904.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 25660 + ... + 29420.

Almost surely, 2^103577940 is an apocalyptic number.

103577940 is a gapful number since it is divisible by the number (10) 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 103577940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172066356).

103577940 is an abundant number, since it is smaller than the sum of its proper divisors (240554772).

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

103577940 is a wasteful number, since it uses less digits than its factorization.

103577940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3799 (or 3788 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 36.

The square root of 103577940 is about 10177.3247958390. The cubic root of 103577940 is about 469.6299184194.

The spelling of 103577940 in words is "one hundred three million, five hundred seventy-seven thousand, nine hundred forty".