101154312 has 128 divisors (see below), whose sum is σ = 324000000. Its totient is φ = 28643328.

The previous prime is 101154307. The next prime is 101154329. The reversal of 101154312 is 213451101.

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

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, 225064 + ... + 225512.

It is an arithmetic number, because the mean of its divisors is an integer number (2531250).

Almost surely, 2^101154312 is an apocalyptic number.

101154312 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 101154312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162000000).

101154312 is an abundant number, since it is smaller than the sum of its proper divisors (222845688).

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

101154312 is a wasteful number, since it uses less digits than its factorization.

101154312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 620 (or 610 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 101154312 is about 10057.5499998757. The cubic root of 101154312 is about 465.9380025216.

The spelling of 101154312 in words is "one hundred one million, one hundred fifty-four thousand, three hundred twelve".