103553146144 has 48 divisors (see below), whose sum is σ = 235612540800. Its totient is φ = 43881260544.

The previous prime is 103553146133. The next prime is 103553146159. The reversal of 103553146144 is 441641355301.

It is a super-3 number, since 3×103553146144³ (a number of 34 digits) contains 333 as substring.

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 7 ways as a sum of consecutive naturals, for example, 2577204 + ... + 2617075.

It is an arithmetic number, because the mean of its divisors is an integer number (4908594600).

Almost surely, 2^103553146144 is an apocalyptic number.

103553146144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

103553146144 is an abundant number, since it is smaller than the sum of its proper divisors (132059394656).

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

103553146144 is an equidigital number, since it uses as much as digits as its factorization.

103553146144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5194385 (or 5194377 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 37.

The spelling of 103553146144 in words is "one hundred three billion, five hundred fifty-three million, one hundred forty-six thousand, one hundred forty-four".