103034545454400 has 672 divisors, whose sum is σ = 398118536044800. Its totient is φ = 23317539840000.

The previous prime is 103034545454377. The next prime is 103034545454459. The reversal of 103034545454400 is 4454545430301.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×103034545454400² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 165976590 + ... + 166596210.

Almost surely, 2^{103034545454400} is an apocalyptic number.

103034545454400 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 103034545454400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199059268022400).

103034545454400 is an abundant number, since it is smaller than the sum of its proper divisors (295083990590400).

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

103034545454400 is a wasteful number, since it uses less digits than its factorization.

103034545454400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 619768 (or 619739 counting only the distinct ones).

The product of its (nonzero) digits is 1152000, while the sum is 42.

The spelling of 103034545454400 in words is "one hundred three trillion, thirty-four billion, five hundred forty-five million, four hundred fifty-four thousand, four hundred".