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106100510240 = 255663128189
BaseRepresentation
bin110001011010000010…
…1010100111000100000
3101010212022211101001102
41202310011110320200
53214243212311430
6120424130053532
710444161312434
oct1426405247040
9333768741042
10106100510240
1140aa6a767aa
1218690a1a2a8
13a00b66a30a
1451c73549c4
152b5eac8345
hex18b4154e20

106100510240 has 24 divisors (see below), whose sum is σ = 250662455820. Its totient is φ = 42440204032.

The previous prime is 106100510237. The next prime is 106100510251. The reversal of 106100510240 is 42015001601.

It can be written as a sum of positive squares in 2 ways, for example, as 97766280976 + 8334229264 = 312676^2 + 91292^2 .

It is a super-2 number, since 2×1061005102402 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 331563935 + ... + 331564254.

Almost surely, 2106100510240 is an apocalyptic number.

106100510240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106100510240 is an abundant number, since it is smaller than the sum of its proper divisors (144561945580).

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

106100510240 is an equidigital number, since it uses as much as digits as its factorization.

106100510240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 663128204 (or 663128196 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 20.

Adding to 106100510240 its reverse (42015001601), we get a palindrome (148115511841).

The spelling of 106100510240 in words is "one hundred six billion, one hundred million, five hundred ten thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 663128189 1326256378 2652512756 3315640945 5305025512 6631281890 10610051024 13262563780 21220102048 26525127560 53050255120 106100510240