101073312 has 192 divisors, whose sum is σ = 319334400. Its totient is φ = 31000320.

The previous prime is 101073283. The next prime is 101073337. The reversal of 101073312 is 213370101.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 771487 + ... + 771617.

It is an arithmetic number, because the mean of its divisors is an integer number (1663200).

Almost surely, 2^101073312 is an apocalyptic number.

101073312 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 101073312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159667200).

101073312 is an abundant number, since it is smaller than the sum of its proper divisors (218261088).

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

101073312 is a wasteful number, since it uses less digits than its factorization.

101073312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 18.

The square root of 101073312 is about 10053.5223678072. The cubic root of 101073312 is about 465.8136016410.

The spelling of 101073312 in words is "one hundred one million, seventy-three thousand, three hundred twelve".