105212292801 has 144 divisors (see below), whose sum is σ = 184959903744. Its totient is φ = 52972920000.

The previous prime is 105212292719. The next prime is 105212292827. The reversal of 105212292801 is 108292212501.

It is not a de Polignac number, because 105212292801 - 2⁷ = 105212292673 is a prime.

It is a super-2 number, since 2×105212292801² (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 Curzon number.

It is not an unprimeable number, because it can be changed into a prime (105212290801) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 115490536 + ... + 115491446.

It is an arithmetic number, because the mean of its divisors is an integer number (1284443776).

Almost surely, 2^105212292801 is an apocalyptic number.

105212292801 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

105212292801 is a deficient number, since it is larger than the sum of its proper divisors (79747610943).

105212292801 is a wasteful number, since it uses less digits than its factorization.

105212292801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1144 (or 1126 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 33.

The spelling of 105212292801 in words is "one hundred five billion, two hundred twelve million, two hundred ninety-two thousand, eight hundred one".