105346121004 has 36 divisors (see below), whose sum is σ = 269939420296. Its totient is φ = 34634340288.

The previous prime is 105346120991. The next prime is 105346121063. The reversal of 105346121004 is 400121643501.

It is a happy number.

105346121004 is a `hidden beast` number, since 1 + 0 + 5 + 34 + 612 + 10 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×105346121004² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20040394 + ... + 20045649.

Almost surely, 2^105346121004 is an apocalyptic number.

It is an amenable number.

105346121004 is an abundant number, since it is smaller than the sum of its proper divisors (164593299292).

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

105346121004 is a wasteful number, since it uses less digits than its factorization.

105346121004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40086126 (or 40086121 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 105346121004 its reverse (400121643501), we get a palindrome (505467764505).

The spelling of 105346121004 in words is "one hundred five billion, three hundred forty-six million, one hundred twenty-one thousand, four".