103153140 has 72 divisors (see below), whose sum is σ = 314594280. Its totient is φ = 27358464.

The previous prime is 103153123. The next prime is 103153177. The reversal of 103153140 is 41351301.

Added to its reverse (41351301) it gives a square (144504441 = 12021²).

It can be written as a sum of positive squares in 4 ways, for example, as 58155876 + 44997264 = 7626^2 + 6708^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34006 + ... + 36914.

It is an arithmetic number, because the mean of its divisors is an integer number (4369365).

Almost surely, 2^103153140 is an apocalyptic number.

103153140 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 103153140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157297140).

103153140 is an abundant number, since it is smaller than the sum of its proper divisors (211441140).

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

103153140 is a wasteful number, since it uses less digits than its factorization.

103153140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3121 (or 3116 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 103153140 is about 10156.4334291128. The cubic root of 103153140 is about 468.9870140051.

Adding to 103153140 its reverse (41351301), we get a square (144504441 = 12021²).

The spelling of 103153140 in words is "one hundred three million, one hundred fifty-three thousand, one hundred forty".