103464554130000 has 600 divisors, whose sum is σ = 414532645841600. Its totient is φ = 23591160576000.

The previous prime is 103464554129983. The next prime is 103464554130017. The reversal of 103464554130000 is 31455464301.

103464554130000 is a `hidden beast` number, since 1 + 0 + 3 + 4 + 645 + 5 + 4 + 1 + 3 + 0 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (103464554129983) and next prime (103464554130017).

It is a tau number, because it is divible by the number of its divisors (600).

It is a super-2 number, since 2×103464554130000² (a number of 29 digits) contains 22 as substring.

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 119 ways as a sum of consecutive naturals, for example, 257469231 + ... + 257870769.

Almost surely, 2^{103464554130000} is an apocalyptic number.

103464554130000 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 103464554130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207266322920800).

103464554130000 is an abundant number, since it is smaller than the sum of its proper divisors (311068091711600).

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

103464554130000 is a wasteful number, since it uses less digits than its factorization.

103464554130000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 401989 (or 401965 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 103464554130000 in words is "one hundred three trillion, four hundred sixty-four billion, five hundred fifty-four million, one hundred thirty thousand".