103333678504920 has 512 divisors, whose sum is σ = 381128982220800. Its totient is φ = 24792614977536.

The previous prime is 103333678504879. The next prime is 103333678504933. The reversal of 103333678504920 is 29405876333301.

103333678504920 is a `hidden beast` number, since 1 + 0 + 3 + 3 + 3 + 36 + 78 + 50 + 492 + 0 = 666.

It is a super-2 number, since 2×103333678504920² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 35713132 + ... + 38497988.

It is an arithmetic number, because the mean of its divisors is an integer number (744392543400).

It is a 1-persistent number, because it is pandigital, but 2⋅103333678504920 = 206667357009840 is not.

Almost surely, 2^{103333678504920} is an apocalyptic number.

103333678504920 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 103333678504920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190564491110400).

103333678504920 is an abundant number, since it is smaller than the sum of its proper divisors (277795303715880).

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

103333678504920 is a wasteful number, since it uses less digits than its factorization.

103333678504920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2784984 (or 2784974 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 54.

The spelling of 103333678504920 in words is "one hundred three trillion, three hundred thirty-three billion, six hundred seventy-eight million, five hundred four thousand, nine hundred twenty".