103436147880 has 672 divisors, whose sum is σ = 392785507800. Its totient is φ = 24329797632.

The previous prime is 103436147869. The next prime is 103436147887. The reversal of 103436147880 is 88741634301.

103436147880 is a `hidden beast` number, since 1 + 0 + 3 + 43 + 61 + 478 + 80 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 791521956 + 102644625924 = 28134^2 + 320382^2 .

It is a super-4 number, since 4×103436147880⁴ (a number of 45 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (103436147887) by changing a digit.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 1066351992 + ... + 1066352088.

Almost surely, 2^103436147880 is an apocalyptic number.

103436147880 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 103436147880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196392753900).

103436147880 is an abundant number, since it is smaller than the sum of its proper divisors (289349359920).

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

103436147880 is an equidigital number, since it uses as much as digits as its factorization.

103436147880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 103436147880 in words is "one hundred three billion, four hundred thirty-six million, one hundred forty-seven thousand, eight hundred eighty".