105997761490 has 16 divisors (see below), whose sum is σ = 193409615448. Its totient is φ = 41818294656.

The previous prime is 105997761349. The next prime is 105997761517. The reversal of 105997761490 is 94167799501.

It can be written as a sum of positive squares in 4 ways, for example, as 98801462929 + 7196298561 = 314327^2 + 84831^2 .

It is a super-2 number, since 2×105997761490² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 72600477 + ... + 72601936.

Almost surely, 2^105997761490 is an apocalyptic number.

105997761490 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105997761490 is a deficient number, since it is larger than the sum of its proper divisors (87411853958).

105997761490 is a wasteful number, since it uses less digits than its factorization.

105997761490 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145202493.

The product of its (nonzero) digits is 4286520, while the sum is 58.

The spelling of 105997761490 in words is "one hundred five billion, nine hundred ninety-seven million, seven hundred sixty-one thousand, four hundred ninety".