101829312 has 140 divisors (see below), whose sum is σ = 325288656. Its totient is φ = 31311360.

The previous prime is 101829251. The next prime is 101829317. The reversal of 101829312 is 213928101.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (101829317) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 66637 + ... + 68147.

Almost surely, 2^101829312 is an apocalyptic number.

101829312 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 101829312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162644328).

101829312 is an abundant number, since it is smaller than the sum of its proper divisors (223459344).

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

101829312 is a wasteful number, since it uses less digits than its factorization.

101829312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1548 (or 1529 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 101829312 is about 10091.0510849961. The cubic root of 101829312 is about 466.9721029942.

The spelling of 101829312 in words is "one hundred one million, eight hundred twenty-nine thousand, three hundred twelve".