105150741630 has 64 divisors (see below), whose sum is σ = 275343591168. Its totient is φ = 25487400960.

The previous prime is 105150741607. The next prime is 105150741667. The reversal of 105150741630 is 36147051501.

It is a super-2 number, since 2×105150741630² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 105150741591 and 105150741600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2775294 + ... + 2812926.

It is an arithmetic number, because the mean of its divisors is an integer number (4302243612).

Almost surely, 2^105150741630 is an apocalyptic number.

105150741630 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105150741630 is an abundant number, since it is smaller than the sum of its proper divisors (170192849538).

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

105150741630 is a wasteful number, since it uses less digits than its factorization.

105150741630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46121.

The product of its (nonzero) digits is 12600, while the sum is 33.

The spelling of 105150741630 in words is "one hundred five billion, one hundred fifty million, seven hundred forty-one thousand, six hundred thirty".