105401161251 has 8 divisors (see below), whose sum is σ = 156149868560. Its totient is φ = 70267440816.

The previous prime is 105401161223. The next prime is 105401161303. The reversal of 105401161251 is 152161104501.

105401161251 is a `hidden beast` number, since 1 + 0 + 5 + 40 + 1 + 1 + 612 + 5 + 1 = 666.

It is not a de Polignac number, because 105401161251 - 2⁷ = 105401161123 is a prime.

It is a super-2 number, since 2×105401161251² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 3903746713 = 105401161251 / (1 + 0 + 5 + 4 + 0 + 1 + 1 + 6 + 1 + 2 + 5 + 1).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105401163251) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1951873330 + ... + 1951873383.

It is an arithmetic number, because the mean of its divisors is an integer number (19518733570).

Almost surely, 2^105401161251 is an apocalyptic number.

105401161251 is a deficient number, since it is larger than the sum of its proper divisors (50748707309).

105401161251 is an equidigital number, since it uses as much as digits as its factorization.

105401161251 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3903746722 (or 3903746716 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 27.

Adding to 105401161251 its reverse (152161104501), we get a palindrome (257562265752).

The spelling of 105401161251 in words is "one hundred five billion, four hundred one million, one hundred sixty-one thousand, two hundred fifty-one".