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100240104 = 23337157719
BaseRepresentation
bin1011111100110…
…00101011101000
320222121201120110
411332120223220
5201130140404
613540254320
72325012126
oct576305350
9228551513
10100240104
1151645968
12296a13a0
13179c8b93
14d454916
158c00b89
hex5f98ae8

100240104 has 64 divisors (see below), whose sum is σ = 259372800. Its totient is φ = 32258304.

The previous prime is 100240087. The next prime is 100240117. The reversal of 100240104 is 401042001.

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

It is a self number, because there is not a number n which added to its sum of digits gives 100240104.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 139057 + ... + 139775.

It is an arithmetic number, because the mean of its divisors is an integer number (4052700).

Almost surely, 2100240104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100240104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129686400).

100240104 is an abundant number, since it is smaller than the sum of its proper divisors (159132696).

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

100240104 is a wasteful number, since it uses less digits than its factorization.

100240104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 922 (or 918 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 100240104 is about 10011.9980023969. The cubic root of 100240104 is about 464.5300744531.

Adding to 100240104 its reverse (401042001), we get a palindrome (501282105).

The spelling of 100240104 in words is "one hundred million, two hundred forty thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 24 37 74 111 148 157 222 296 314 444 471 628 719 888 942 1256 1438 1884 2157 2876 3768 4314 5752 5809 8628 11618 17256 17427 23236 26603 34854 46472 53206 69708 79809 106412 112883 139416 159618 212824 225766 319236 338649 451532 638472 677298 903064 1354596 2709192 4176671 8353342 12530013 16706684 25060026 33413368 50120052 100240104