103150540800 has 1152 divisors, whose sum is σ = 409473792000. Its totient is φ = 25391923200.

The previous prime is 103150540799. The next prime is 103150540813. The reversal of 103150540800 is 8045051301.

103150540800 is a `hidden beast` number, since 10 + 31 + 5 + 0 + 540 + 80 + 0 = 666.

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 pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1242777559 + ... + 1242777641.

It is an arithmetic number, because the mean of its divisors is an integer number (355446000).

Almost surely, 2^103150540800 is an apocalyptic number.

103150540800 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 103150540800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204736896000).

103150540800 is an abundant number, since it is smaller than the sum of its proper divisors (306323251200).

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

103150540800 is a wasteful number, since it uses less digits than its factorization.

103150540800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The spelling of 103150540800 in words is "one hundred three billion, one hundred fifty million, five hundred forty thousand, eight hundred".