105144513510 has 32 divisors (see below), whose sum is σ = 252682900992. Its totient is φ = 28001196000.

The previous prime is 105144513493. The next prime is 105144513521. The reversal of 105144513510 is 15315441501.

It is a super-2 number, since 2×105144513510² (a number of 23 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 an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2310904 + ... + 2355963.

It is an arithmetic number, because the mean of its divisors is an integer number (7896340656).

Almost surely, 2^105144513510 is an apocalyptic number.

105144513510 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105144513510 is an abundant number, since it is smaller than the sum of its proper divisors (147538387482).

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

105144513510 is a wasteful number, since it uses less digits than its factorization.

105144513510 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4667628.

The product of its (nonzero) digits is 6000, while the sum is 30.

The spelling of 105144513510 in words is "one hundred five billion, one hundred forty-four million, five hundred thirteen thousand, five hundred ten".