101429328 has 160 divisors (see below), whose sum is σ = 351977472. Its totient is φ = 24307200.

The previous prime is 101429299. The next prime is 101429329. The reversal of 101429328 is 823924101.

It is a junction number, because it is equal to n+sod(n) for n = 101429295 and 101429304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101429329) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46993 + ... + 49103.

Almost surely, 2^101429328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101429328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175988736).

101429328 is an abundant number, since it is smaller than the sum of its proper divisors (250548144).

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

101429328 is a wasteful number, since it uses less digits than its factorization.

101429328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2153 (or 2147 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 101429328 is about 10071.2128365952. The cubic root of 101429328 is about 466.3598809035.

The spelling of 101429328 in words is "one hundred one million, four hundred twenty-nine thousand, three hundred twenty-eight".