103734427230720 has 2880 divisors, whose sum is σ = 443065150015488. Its totient is φ = 23057768448000.

The previous prime is 103734427230703. The next prime is 103734427230767. The reversal of 103734427230720 is 27032724437301.

It is a happy number.

103734427230720 is a `hidden beast` number, since 1 + 0 + 3 + 7 + 344 + 2 + 7 + 230 + 72 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a super-4 number, since 4×103734427230720⁴ (a number of 57 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 313397060955 + ... + 313397061285.

Almost surely, 2^{103734427230720} is an apocalyptic number.

103734427230720 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 103734427230720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221532575007744).

103734427230720 is an abundant number, since it is smaller than the sum of its proper divisors (339330722784768).

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

103734427230720 is a wasteful number, since it uses less digits than its factorization.

103734427230720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 677 (or 636 counting only the distinct ones).

The product of its (nonzero) digits is 1185408, while the sum is 45.

The spelling of 103734427230720 in words is "one hundred three trillion, seven hundred thirty-four billion, four hundred twenty-seven million, two hundred thirty thousand, seven hundred twenty".