101640000 has 420 divisors, whose sum is σ = 422139872. Its totient is φ = 21120000.

The previous prime is 101639963. The next prime is 101640023. The reversal of 101640000 is 46101.

It is a tau number, because it is divible by the number of its divisors (420).

It is a Harshad number since it is a multiple of its sum of digits (12).

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 an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 9239995 + ... + 9240005.

Almost surely, 2^101640000 is an apocalyptic number.

101640000 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 101640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211069936).

101640000 is an abundant number, since it is smaller than the sum of its proper divisors (320499872).

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

101640000 is an equidigital number, since it uses as much as digits as its factorization.

101640000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 101640000 is about 10081.6665289028. Note that the first 3 decimals coincide. The cubic root of 101640000 is about 466.6825391427.

Adding to 101640000 its reverse (46101), we get a palindrome (101686101).

The spelling of 101640000 in words is "one hundred one million, six hundred forty thousand".