105355100510 has 96 divisors (see below), whose sum is σ = 219638200320. Its totient is φ = 36258045120.

The previous prime is 105355100479. The next prime is 105355100573. The reversal of 105355100510 is 15001553501.

It is a super-2 number, since 2×105355100510² (a number of 23 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 105355100510.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33264947 + ... + 33268113.

It is an arithmetic number, because the mean of its divisors is an integer number (2287897920).

Almost surely, 2^105355100510 is an apocalyptic number.

105355100510 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105355100510 is an abundant number, since it is smaller than the sum of its proper divisors (114283099810).

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

105355100510 is a wasteful number, since it uses less digits than its factorization.

105355100510 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4662 (or 4651 counting only the distinct ones).

The product of its (nonzero) digits is 1875, while the sum is 26.

The spelling of 105355100510 in words is "one hundred five billion, three hundred fifty-five million, one hundred thousand, five hundred ten".