106312501000 has 32 divisors (see below), whose sum is σ = 248771254680. Its totient is φ = 42525000000.

The previous prime is 106312500977. The next prime is 106312501021. The reversal of 106312501000 is 105213601.

It can be written as a sum of positive squares in 4 ways, for example, as 20408408164 + 85904092836 = 142858^2 + 293094^2 .

It is a super-2 number, since 2×106312501000² (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 7 ways as a sum of consecutive naturals, for example, 53155251 + ... + 53157250.

Almost surely, 2^106312501000 is an apocalyptic number.

106312501000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106312501000 is an abundant number, since it is smaller than the sum of its proper divisors (142458753680).

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

106312501000 is a wasteful number, since it uses less digits than its factorization.

106312501000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106312522 (or 106312508 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 19.

Adding to 106312501000 its reverse (105213601), we get a palindrome (106417714601).

The spelling of 106312501000 in words is "one hundred six billion, three hundred twelve million, five hundred one thousand".