101430312 has 64 divisors (see below), whose sum is σ = 261292800. Its totient is φ = 32797440.

The previous prime is 101430293. The next prime is 101430319. The reversal of 101430312 is 213034101.

It is a junction number, because it is equal to n+sod(n) for n = 101430291 and 101430300.

It is not an unprimeable number, because it can be changed into a prime (101430319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 115218 + ... + 116094.

It is an arithmetic number, because the mean of its divisors is an integer number (4082700).

Almost surely, 2^101430312 is an apocalyptic number.

101430312 is a gapful number since it is divisible by the number (12) 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 101430312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130646400).

101430312 is an abundant number, since it is smaller than the sum of its proper divisors (159862488).

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

101430312 is a wasteful number, since it uses less digits than its factorization.

101430312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1026 (or 1022 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 101430312 is about 10071.2616885870. The cubic root of 101430312 is about 466.3613890033.

Adding to 101430312 its reverse (213034101), we get a palindrome (314464413).

The spelling of 101430312 in words is "one hundred one million, four hundred thirty thousand, three hundred twelve".