101430000 has 450 divisors, whose sum is σ = 430568424. Its totient is φ = 22176000.

The previous prime is 101429953. The next prime is 101430001. The reversal of 101430000 is 34101.

It is a tau number, because it is divible by the number of its divisors (450).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101430001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 4409989 + ... + 4410011.

Almost surely, 2^101430000 is an apocalyptic number.

101430000 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 101430000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215284212).

101430000 is an abundant number, since it is smaller than the sum of its proper divisors (329138424).

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

101430000 is a wasteful number, since it uses less digits than its factorization.

101430000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 101430000 is about 10071.2461989567. The cubic root of 101430000 is about 466.3609108264.

Adding to 101430000 its reverse (34101), we get a palindrome (101464101).

The spelling of 101430000 in words is "one hundred one million, four hundred thirty thousand".