100145310 has 64 divisors (see below), whose sum is σ = 250048512. Its totient is φ = 25646976.

The previous prime is 100145303. The next prime is 100145341. The reversal of 100145310 is 13541001.

It is a super-2 number, since 2×100145310² = 20058166229992200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 100145310.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 91587 + ... + 92673.

It is an arithmetic number, because the mean of its divisors is an integer number (3907008).

Almost surely, 2^100145310 is an apocalyptic number.

100145310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 100145310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125024256).

100145310 is an abundant number, since it is smaller than the sum of its proper divisors (149903202).

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

100145310 is a wasteful number, since it uses less digits than its factorization.

100145310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1217.

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 100145310 is about 10007.2628625414. The cubic root of 100145310 is about 464.3835976434.

Adding to 100145310 its reverse (13541001), we get a palindrome (113686311).

The spelling of 100145310 in words is "one hundred million, one hundred forty-five thousand, three hundred ten".