106486069700 has 36 divisors (see below), whose sum is σ = 231135214212. Its totient is φ = 42583286400.

The previous prime is 106486069663. The next prime is 106486069747. The reversal of 106486069700 is 7960684601.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 4985207236 + 101500862464 = 70606^2 + 318592^2 .

It is a super-2 number, since 2×106486069700² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 250370 + ... + 525030.

It is an arithmetic number, because the mean of its divisors is an integer number (6420422617).

Almost surely, 2^106486069700 is an apocalyptic number.

106486069700 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106486069700 is an abundant number, since it is smaller than the sum of its proper divisors (124649144512).

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

106486069700 is a wasteful number, since it uses less digits than its factorization.

106486069700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278552 (or 278545 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 47.

The spelling of 106486069700 in words is "one hundred six billion, four hundred eighty-six million, sixty-nine thousand, seven hundred".