106486921761 has 16 divisors (see below), whose sum is σ = 154988736768. Its totient is φ = 64496416400.

The previous prime is 106486921699. The next prime is 106486921769. The reversal of 106486921761 is 167129684601.

It is a cyclic number.

It is not a de Polignac number, because 106486921761 - 2²⁶ = 106419812897 is a prime.

It is a super-2 number, since 2×106486921761² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106486921769) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 975171 + ... + 1078856.

It is an arithmetic number, because the mean of its divisors is an integer number (9686796048).

Almost surely, 2^106486921761 is an apocalyptic number.

106486921761 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

106486921761 is a deficient number, since it is larger than the sum of its proper divisors (48501815007).

106486921761 is a wasteful number, since it uses less digits than its factorization.

106486921761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2055612.

The product of its (nonzero) digits is 870912, while the sum is 51.

The spelling of 106486921761 in words is "one hundred six billion, four hundred eighty-six million, nine hundred twenty-one thousand, seven hundred sixty-one".