310045145100 has 288 divisors, whose sum is σ = 974937600000. Its totient is φ = 75837189120.

The previous prime is 310045145057. The next prime is 310045145119. The reversal of 310045145100 is 1541540013.

It is a happy number.

It is a super-2 number, since 2×310045145100² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 29809701 + ... + 29820099.

It is an arithmetic number, because the mean of its divisors is an integer number (3385200000).

Almost surely, 2^310045145100 is an apocalyptic number.

310045145100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 310045145100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487468800000).

310045145100 is an abundant number, since it is smaller than the sum of its proper divisors (664892454900).

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

310045145100 is a wasteful number, since it uses less digits than its factorization.

310045145100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10617 (or 10610 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

Adding to 310045145100 its reverse (1541540013), we get a palindrome (311586685113).

The spelling of 310045145100 in words is "three hundred ten billion, forty-five million, one hundred forty-five thousand, one hundred".