103551490300440 has 512 divisors, whose sum is σ = 405938144747520. Its totient is φ = 20506993164288.

The previous prime is 103551490300439. The next prime is 103551490300481. The reversal of 103551490300440 is 44003094155301.

It is a super-3 number, since 3×103551490300440³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 67369924 + ... + 68889836.

It is an arithmetic number, because the mean of its divisors is an integer number (792847938960).

Almost surely, 2^{103551490300440} is an apocalyptic number.

103551490300440 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 103551490300440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202969072373760).

103551490300440 is an abundant number, since it is smaller than the sum of its proper divisors (302386654447080).

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

103551490300440 is a wasteful number, since it uses less digits than its factorization.

103551490300440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1520331 (or 1520327 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 39.

The spelling of 103551490300440 in words is "one hundred three trillion, five hundred fifty-one billion, four hundred ninety million, three hundred thousand, four hundred forty".