103395555840 has 320 divisors, whose sum is σ = 368415527040. Its totient is φ = 24583864320.

The previous prime is 103395555839. The next prime is 103395555853. The reversal of 103395555840 is 48555593301.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (320).

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 103395555840.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2459800 + ... + 2501480.

It is an arithmetic number, because the mean of its divisors is an integer number (1151298522).

Almost surely, 2^103395555840 is an apocalyptic number.

103395555840 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 103395555840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184207763520).

103395555840 is an abundant number, since it is smaller than the sum of its proper divisors (265019971200).

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

103395555840 is a wasteful number, since it uses less digits than its factorization.

103395555840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41743 (or 41727 counting only the distinct ones).

The product of its (nonzero) digits is 1620000, while the sum is 48.

The spelling of 103395555840 in words is "one hundred three billion, three hundred ninety-five million, five hundred fifty-five thousand, eight hundred forty".