103146644160 has 560 divisors, whose sum is σ = 420618147840. Its totient is φ = 23503841280.

The previous prime is 103146644149. The next prime is 103146644177. The reversal of 103146644160 is 61446641301.

103146644160 is a `hidden beast` number, since 1 + 0 + 3 + 1 + 4 + 6 + 644 + 1 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (560).

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 78199981 + ... + 78201299.

Almost surely, 2^103146644160 is an apocalyptic number.

103146644160 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 103146644160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210309073920).

103146644160 is an abundant number, since it is smaller than the sum of its proper divisors (317471503680).

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

103146644160 is a wasteful number, since it uses less digits than its factorization.

103146644160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1786 (or 1767 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 103146644160 in words is "one hundred three billion, one hundred forty-six million, six hundred forty-four thousand, one hundred sixty".