103420969115520 has 1024 divisors, whose sum is σ = 410792456448000. Its totient is φ = 21592399675392.

The previous prime is 103420969115479. The next prime is 103420969115549. The reversal of 103420969115520 is 25511969024301.

It is a super-2 number, since 2×103420969115520² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 103420969115520.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1542434956 + ... + 1542502004.

It is an arithmetic number, because the mean of its divisors is an integer number (401164508250).

Almost surely, 2^{103420969115520} is an apocalyptic number.

103420969115520 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 103420969115520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205396228224000).

103420969115520 is an abundant number, since it is smaller than the sum of its proper divisors (307371487332480).

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

103420969115520 is a wasteful number, since it uses less digits than its factorization.

103420969115520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67295 (or 67283 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 48.

The spelling of 103420969115520 in words is "one hundred three trillion, four hundred twenty billion, nine hundred sixty-nine million, one hundred fifteen thousand, five hundred twenty".