103465155600 has 225 divisors, whose sum is σ = 371536051117. Its totient is φ = 27575268480.

The previous prime is 103465155593. The next prime is 103465155631. The reversal of 103465155600 is 6551564301.

The square root of 103465155600 is 321660.

It is a perfect power (a square), and thus also a powerful number.

103465155600 is a `hidden beast` number, since 1 + 0 + 3 + 46 + 5 + 1 + 5 + 5 + 600 = 666.

It can be written as a sum of positive squares in only one way, i.e., 37247456016 + 66217699584 = 192996^2 + 257328^2 .

It is a tau number, because it is divible by the number of its divisors (225).

It is a super-2 number, since 2×103465155600² (a number of 23 digits) contains 22 as substring.

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

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 57897907 + ... + 57899693.

Almost surely, 2^103465155600 is an apocalyptic number.

103465155600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

103465155600 is the 321660-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103465155600

103465155600 is an abundant number, since it is smaller than the sum of its proper divisors (268070895517).

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

103465155600 is an frugal number, since it uses more digits than its factorization.

103465155600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3604 (or 1797 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

Multiplying 103465155600 by its sum of digits (36), we get a square (3724745601600 = 1929960²).

103465155600 divided by its sum of digits (36) gives a square (2874032100 = 53610²).

The spelling of 103465155600 in words is "one hundred three billion, four hundred sixty-five million, one hundred fifty-five thousand, six hundred".