101429700 has 72 divisors (see below), whose sum is σ = 294481152. Its totient is φ = 26954880.

The previous prime is 101429659. The next prime is 101429707. The reversal of 101429700 is 7924101.

It is not an unprimeable number, because it can be changed into a prime (101429707) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 166797 + ... + 167403.

It is an arithmetic number, because the mean of its divisors is an integer number (4090016).

Almost surely, 2^101429700 is an apocalyptic number.

101429700 is a gapful number since it is divisible by the number (10) 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 101429700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147240576).

101429700 is an abundant number, since it is smaller than the sum of its proper divisors (193051452).

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

101429700 is a wasteful number, since it uses less digits than its factorization.

101429700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1181 (or 1174 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 24.

The square root of 101429700 is about 10071.2313050590. The cubic root of 101429700 is about 466.3604510399.

The spelling of 101429700 in words is "one hundred one million, four hundred twenty-nine thousand, seven hundred".