103749240 has 128 divisors (see below), whose sum is σ = 368064000. Its totient is φ = 22891008.

The previous prime is 103749223. The next prime is 103749259. The reversal of 103749240 is 42947301.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 103749198 and 103749207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22231 + ... + 26489.

It is an arithmetic number, because the mean of its divisors is an integer number (2875500).

Almost surely, 2^103749240 is an apocalyptic number.

103749240 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 103749240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184032000).

103749240 is an abundant number, since it is smaller than the sum of its proper divisors (264314760).

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

103749240 is a wasteful number, since it uses less digits than its factorization.

103749240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4309 (or 4305 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 103749240 is about 10185.7370867306. The cubic root of 103749240 is about 469.8886713834. Note that the first 3 decimals are identical.

The spelling of 103749240 in words is "one hundred three million, seven hundred forty-nine thousand, two hundred forty".