101434300 has 108 divisors (see below), whose sum is σ = 247281048. Its totient is φ = 36080000.

The previous prime is 101434273. The next prime is 101434309. The reversal of 101434300 is 3434101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101434309) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1004250 + ... + 1004350.

Almost surely, 2^101434300 is an apocalyptic number.

101434300 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 101434300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123640524).

101434300 is an abundant number, since it is smaller than the sum of its proper divisors (145846748).

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

101434300 is a wasteful number, since it uses less digits than its factorization.

101434300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 101434300 is about 10071.4596757372. The cubic root of 101434300 is about 466.3675009988.

Adding to 101434300 its reverse (3434101), we get a palindrome (104868401).

The spelling of 101434300 in words is "one hundred one million, four hundred thirty-four thousand, three hundred".