105901156360 has 16 divisors (see below), whose sum is σ = 238277601900. Its totient is φ = 42360462528.

The previous prime is 105901156357. The next prime is 105901156363. The reversal of 105901156360 is 63651109501.

It is an interprime number because it is at equal distance from previous prime (105901156357) and next prime (105901156363).

It can be written as a sum of positive squares in 2 ways, for example, as 96103720036 + 9797436324 = 310006^2 + 98982^2 .

It is a super-2 number, since 2×105901156360² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105901156363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1323764415 + ... + 1323764494.

Almost surely, 2^105901156360 is an apocalyptic number.

105901156360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105901156360 is an abundant number, since it is smaller than the sum of its proper divisors (132376445540).

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

105901156360 is a wasteful number, since it uses less digits than its factorization.

105901156360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2647528920 (or 2647528916 counting only the distinct ones).

The product of its (nonzero) digits is 24300, while the sum is 37.

The spelling of 105901156360 in words is "one hundred five billion, nine hundred one million, one hundred fifty-six thousand, three hundred sixty".