103357105920 has 1152 divisors, whose sum is σ = 419605401600. Its totient is φ = 23930339328.

The previous prime is 103357105919. The next prime is 103357105979. The reversal of 103357105920 is 29501753301.

103357105920 is a `hidden beast` number, since 1 + 0 + 3 + 3 + 57 + 10 + 592 + 0 = 666.

103357105920 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 524655262 + ... + 524655458.

It is an arithmetic number, because the mean of its divisors is an integer number (364240800).

Almost surely, 2^103357105920 is an apocalyptic number.

103357105920 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 103357105920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209802700800).

103357105920 is an abundant number, since it is smaller than the sum of its proper divisors (316248295680).

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

103357105920 is a wasteful number, since it uses less digits than its factorization.

103357105920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 28350, while the sum is 36.

The spelling of 103357105920 in words is "one hundred three billion, three hundred fifty-seven million, one hundred five thousand, nine hundred twenty".