10305450362100 has 72 divisors (see below), whose sum is σ = 29881782631008. Its totient is φ = 2742158844800.

The previous prime is 10305450362089. The next prime is 10305450362107. The reversal of 10305450362100 is 126305450301.

It is a super-2 number, since 2×10305450362100² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10305450362107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37119294 + ... + 37395893.

It is an arithmetic number, because the mean of its divisors is an integer number (415024758764).

Almost surely, 2^{10305450362100} is an apocalyptic number.

10305450362100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10305450362100 is an abundant number, since it is smaller than the sum of its proper divisors (19576332268908).

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

10305450362100 is a wasteful number, since it uses less digits than its factorization.

10305450362100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74515665 (or 74515658 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The spelling of 10305450362100 in words is "ten trillion, three hundred five billion, four hundred fifty million, three hundred sixty-two thousand, one hundred".