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101104640 = 2105721331
BaseRepresentation
bin1100000011010…
…11110000000000
321001020122111022
412001223300000
5201340322030
614011005012
72335242500
oct601536000
9231218438
10101104640
115208645a
1229a39768
1317c3c540
14d5dba00
158d21de5
hex606bc00

101104640 has 264 divisors, whose sum is σ = 313633152. Its totient is φ = 30965760.

The previous prime is 101104579. The next prime is 101104649. The reversal of 101104640 is 46401101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101104649) 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, 3261425 + ... + 3261455.

Almost surely, 2101104640 is an apocalyptic number.

101104640 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 101104640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156816576).

101104640 is an abundant number, since it is smaller than the sum of its proper divisors (212528512).

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

101104640 is a wasteful number, since it uses less digits than its factorization.

101104640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 101104640 is about 10055.0803079836. The cubic root of 101104640 is about 465.8617234804.

Adding to 101104640 its reverse (46401101), we get a palindrome (147505741).

The spelling of 101104640 in words is "one hundred one million, one hundred four thousand, six hundred forty".