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101696010 = 235131072437
BaseRepresentation
bin1100000111111…
…00001000001010
321002100200200220
412003330020022
5202013233020
614031410510
72343254553
oct603741012
9232320626
10101696010
115244a799
122a083a36
13180b8770
14d71332a
158ddc240
hex60fc20a

101696010 has 64 divisors (see below), whose sum is σ = 265410432. Its totient is φ = 24788736.

The previous prime is 101696003. The next prime is 101696033. The reversal of 101696010 is 10696101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40512 + ... + 42948.

It is an arithmetic number, because the mean of its divisors is an integer number (4147038).

Almost surely, 2101696010 is an apocalyptic number.

101696010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 101696010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132705216).

101696010 is an abundant number, since it is smaller than the sum of its proper divisors (163714422).

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

101696010 is a wasteful number, since it uses less digits than its factorization.

101696010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2567.

The product of its (nonzero) digits is 324, while the sum is 24.

The square root of 101696010 is about 10084.4439608736. The cubic root of 101696010 is about 466.7682471615.

Subtracting from 101696010 its reverse (10696101), we obtain a palindrome (90999909).

The spelling of 101696010 in words is "one hundred one million, six hundred ninety-six thousand, ten".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 107 130 195 214 321 390 535 642 1070 1391 1605 2437 2782 3210 4173 4874 6955 7311 8346 12185 13910 14622 20865 24370 31681 36555 41730 63362 73110 95043 158405 190086 260759 316810 475215 521518 782277 950430 1303795 1564554 2607590 3389867 3911385 6779734 7822770 10169601 16949335 20339202 33898670 50848005 101696010