101103312 has 40 divisors (see below), whose sum is σ = 261545760. Its totient is φ = 33654400.

The previous prime is 101103287. The next prime is 101103319. The reversal of 101103312 is 213301101.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101103319) 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, 61639 + ... + 63257.

It is an arithmetic number, because the mean of its divisors is an integer number (6538644).

Almost surely, 2^101103312 is an apocalyptic number.

101103312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101103312 is an abundant number, since it is smaller than the sum of its proper divisors (160442448).

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

101103312 is a wasteful number, since it uses less digits than its factorization.

101103312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2931 (or 2925 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 101103312 is about 10055.0142714966. The cubic root of 101103312 is about 465.8596837881.

Adding to 101103312 its reverse (213301101), we get a palindrome (314404413).

The spelling of 101103312 in words is "one hundred one million, one hundred three thousand, three hundred twelve".