103625350500 has 192 divisors, whose sum is σ = 347921054208. Its totient is φ = 23475916800.

The previous prime is 103625350489. The next prime is 103625350531. The reversal of 103625350500 is 5053526301.

It is a super-3 number, since 3×103625350500³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1142832 + ... + 1230168.

It is an arithmetic number, because the mean of its divisors is an integer number (1812088824).

Almost surely, 2^103625350500 is an apocalyptic number.

103625350500 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 103625350500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173960527104).

103625350500 is an abundant number, since it is smaller than the sum of its proper divisors (244295703708).

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

103625350500 is a wasteful number, since it uses less digits than its factorization.

103625350500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87479 (or 87467 counting only the distinct ones).

The product of its (nonzero) digits is 13500, while the sum is 30.

Adding to 103625350500 its reverse (5053526301), we get a palindrome (108678876801).

The spelling of 103625350500 in words is "one hundred three billion, six hundred twenty-five million, three hundred fifty thousand, five hundred".