103011424040 has 192 divisors, whose sum is σ = 272273354640. Its totient is φ = 34971955200.

The previous prime is 103011424031. The next prime is 103011424057. The reversal of 103011424040 is 40424110301.

It can be written as a sum of positive squares in 8 ways, for example, as 28398316324 + 74613107716 = 168518^2 + 273154^2 .

It is a super-2 number, since 2×103011424040² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 171399740 + ... + 171400340.

Almost surely, 2^103011424040 is an apocalyptic number.

103011424040 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 103011424040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136136677320).

103011424040 is an abundant number, since it is smaller than the sum of its proper divisors (169261930600).

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

103011424040 is a wasteful number, since it uses less digits than its factorization.

103011424040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1340 (or 1329 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 103011424040 its reverse (40424110301), we get a palindrome (143435534341).

It can be divided in two parts, 10301 and 1424040, that added together give a palindrome (1434341).

The spelling of 103011424040 in words is "one hundred three billion, eleven million, four hundred twenty-four thousand, forty".