105011100150 has 48 divisors (see below), whose sum is σ = 284102762688. Its totient is φ = 25457236000.

The previous prime is 105011100143. The next prime is 105011100179. The reversal of 105011100150 is 51001110501.

105011100150 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×105011100150² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31819896 + ... + 31823195.

It is an arithmetic number, because the mean of its divisors is an integer number (5918807556).

Almost surely, 2^105011100150 is an apocalyptic number.

105011100150 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105011100150 is an abundant number, since it is smaller than the sum of its proper divisors (179091662538).

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

105011100150 is a wasteful number, since it uses less digits than its factorization.

105011100150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63643117 (or 63643112 counting only the distinct ones).

The product of its (nonzero) digits is 25, while the sum is 15.

Adding to 105011100150 its reverse (51001110501), we get a palindrome (156012210651).

The spelling of 105011100150 in words is "one hundred five billion, eleven million, one hundred thousand, one hundred fifty".