105145510300 has 36 divisors (see below), whose sum is σ = 229162164280. Its totient is φ = 41874534720.

The previous prime is 105145510297. The next prime is 105145510339. The reversal of 105145510300 is 3015541501.

It is a happy number.

It is a super-3 number, since 3×105145510300³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2272854 + ... + 2318653.

Almost surely, 2^105145510300 is an apocalyptic number.

105145510300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105145510300 is an abundant number, since it is smaller than the sum of its proper divisors (124016653980).

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

105145510300 is a wasteful number, since it uses less digits than its factorization.

105145510300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4591750 (or 4591743 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 25.

The spelling of 105145510300 in words is "one hundred five billion, one hundred forty-five million, five hundred ten thousand, three hundred".