105010051061000 has 64 divisors (see below), whose sum is σ = 245725096808880. Its totient is φ = 42003750796800.

The previous prime is 105010051060963. The next prime is 105010051061029. The reversal of 105010051061000 is 160150010501.

It can be written as a sum of positive squares in 8 ways, for example, as 1422967465924 + 103587083595076 = 1192882^2 + 10177774^2 .

It is a super-2 number, since 2×105010051061000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 244178162 + ... + 244607838.

Almost surely, 2^{105010051061000} is an apocalyptic number.

105010051061000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105010051061000 is an abundant number, since it is smaller than the sum of its proper divisors (140715045747880).

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

105010051061000 is a wasteful number, since it uses less digits than its factorization.

105010051061000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 674091 (or 674077 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 20.

The spelling of 105010051061000 in words is "one hundred five trillion, ten billion, fifty-one million, sixty-one thousand".