612215106100 has 144 divisors (see below), whose sum is σ = 1518380661168. Its totient is φ = 212257013760.

The previous prime is 612215106089. The next prime is 612215106137. The reversal of 612215106100 is 1601512216.

It is a happy number.

It can be written as a sum of positive squares in 24 ways, for example, as 519976556836 + 92238549264 = 721094^2 + 303708^2 .

It is a super-2 number, since 2×612215106100² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9537312 + ... + 9601288.

It is an arithmetic number, because the mean of its divisors is an integer number (10544310147).

Almost surely, 2^612215106100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 612215106100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (759190330584).

612215106100 is an abundant number, since it is smaller than the sum of its proper divisors (906165555068).

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

612215106100 is a wasteful number, since it uses less digits than its factorization.

612215106100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64454 (or 64447 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 25.

Adding to 612215106100 its reverse (1601512216), we get a palindrome (613816618316).

The spelling of 612215106100 in words is "six hundred twelve billion, two hundred fifteen million, one hundred six thousand, one hundred".