103045219200 has 1152 divisors, whose sum is σ = 475672055040. Its totient is φ = 21399552000.

The previous prime is 103045219157. The next prime is 103045219243. The reversal of 103045219200 is 2912540301.

103045219200 is a `hidden beast` number, since 1 + 0 + 3 + 0 + 452 + 1 + 9 + 200 = 666.

It is an interprime number because it is at equal distance from previous prime (103045219157) and next prime (103045219243).

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 (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 59874340 + ... + 59876060.

It is an arithmetic number, because the mean of its divisors is an integer number (412909770).

Almost surely, 2^103045219200 is an apocalyptic number.

103045219200 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 103045219200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237836027520).

103045219200 is an abundant number, since it is smaller than the sum of its proper divisors (372626835840).

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

103045219200 is a wasteful number, since it uses less digits than its factorization.

103045219200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1778 (or 1749 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

Adding to 103045219200 its reverse (2912540301), we get a palindrome (105957759501).

The spelling of 103045219200 in words is "one hundred three billion, forty-five million, two hundred nineteen thousand, two hundred".