105151240512 has 42 divisors (see below), whose sum is σ = 301397046938. Its totient is φ = 35050413312.

The previous prime is 105151240507. The next prime is 105151240529. The reversal of 105151240512 is 215042151501.

It is a happy number.

105151240512 is a `hidden beast` number, since 10 + 5 + 15 + 124 + 0 + 512 = 666.

It can be written as a sum of positive squares in only one way, i.e., 83900598336 + 21250642176 = 289656^2 + 145776^2 .

It is a super-2 number, since 2×105151240512² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 91276543 + ... + 91277694.

Almost surely, 2^105151240512 is an apocalyptic number.

105151240512 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105151240512 is an abundant number, since it is smaller than the sum of its proper divisors (196245806426).

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

105151240512 is a wasteful number, since it uses less digits than its factorization.

105151240512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182554255 (or 182554242 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 27.

The spelling of 105151240512 in words is "one hundred five billion, one hundred fifty-one million, two hundred forty thousand, five hundred twelve".