103148622720 has 1280 divisors, whose sum is σ = 454461408000. Its totient is φ = 21867356160.

The previous prime is 103148622691. The next prime is 103148622763. The reversal of 103148622720 is 27226841301.

It is a happy number.

103148622720 is a `hidden beast` number, since 1 + 0 + 3 + 1 + 4 + 8 + 622 + 7 + 20 = 666.

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 159 ways as a sum of consecutive naturals, for example, 5428874871 + ... + 5428874889.

It is an arithmetic number, because the mean of its divisors is an integer number (355047975).

Almost surely, 2^103148622720 is an apocalyptic number.

103148622720 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 103148622720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227230704000).

103148622720 is an abundant number, since it is smaller than the sum of its proper divisors (351312785280).

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

103148622720 is an equidigital number, since it uses as much as digits as its factorization.

103148622720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 103148622720 in words is "one hundred three billion, one hundred forty-eight million, six hundred twenty-two thousand, seven hundred twenty".