106250002000 has 40 divisors (see below), whose sum is σ = 256912509672. Its totient is φ = 42500000000.

The previous prime is 106250001961. The next prime is 106250002009. The reversal of 106250002000 is 200052601.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 14069755456 + 92180246544 = 118616^2 + 303612^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×106250002000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106250002009) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26560501 + ... + 26564500.

Almost surely, 2^106250002000 is an apocalyptic number.

106250002000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106250002000 is an abundant number, since it is smaller than the sum of its proper divisors (150662507672).

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

106250002000 is an equidigital number, since it uses as much as digits as its factorization.

106250002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53125024 (or 53125008 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

Adding to 106250002000 its reverse (200052601), we get a palindrome (106450054601).

The spelling of 106250002000 in words is "one hundred six billion, two hundred fifty million, two thousand".