101434320 has 120 divisors (see below), whose sum is σ = 366887976. Its totient is φ = 24966144.

The previous prime is 101434313. The next prime is 101434327. The reversal of 101434320 is 23434101.

It is an interprime number because it is at equal distance from previous prime (101434313) and next prime (101434327).

It can be written as a sum of positive squares in 4 ways, for example, as 69696 + 101364624 = 264^2 + 10068^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a junction number, because it is equal to n+sod(n) for n = 101434293 and 101434302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101434327) 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, 3942 + ... + 14778.

Almost surely, 2^101434320 is an apocalyptic number.

101434320 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 101434320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183443988).

101434320 is an abundant number, since it is smaller than the sum of its proper divisors (265453656).

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

101434320 is a wasteful number, since it uses less digits than its factorization.

101434320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10869 (or 10860 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 101434320 is about 10071.4606686419. The cubic root of 101434320 is about 466.3675316504.

Adding to 101434320 its reverse (23434101), we get a palindrome (124868421).

The spelling of 101434320 in words is "one hundred one million, four hundred thirty-four thousand, three hundred twenty".