103000253221520 has 80 divisors (see below), whose sum is σ = 239616564897600. Its totient is φ = 41175853834752.

The previous prime is 103000253221519. The next prime is 103000253221559. The reversal of 103000253221520 is 25122352000301.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×103000253221520² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 103000253221520.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1098470159 + ... + 1098563921.

It is an arithmetic number, because the mean of its divisors is an integer number (2995207061220).

Almost surely, 2^{103000253221520} is an apocalyptic number.

103000253221520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103000253221520 is an abundant number, since it is smaller than the sum of its proper divisors (136616311676080).

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

103000253221520 is a wasteful number, since it uses less digits than its factorization.

103000253221520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101712 (or 101706 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 26.

The spelling of 103000253221520 in words is "one hundred three trillion, two hundred fifty-three million, two hundred twenty-one thousand, five hundred twenty".