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106005111100 = 22527151435873
BaseRepresentation
bin110001010111001100…
…1011010000100111100
3101010121200022121000221
41202232121122010330
53214044302023400
6120410441231124
710441622402020
oct1425631320474
9333550277027
10106005111100
1140a58137a39
1218664a924a4
139cc4977a15
1451b8800380
152b56531c1a
hex18ae65a13c

106005111100 has 36 divisors (see below), whose sum is σ = 262892677264. Its totient is φ = 36344609280.

The previous prime is 106005111061. The next prime is 106005111119. The reversal of 106005111100 is 1111500601.

It is a super-2 number, since 2×1060051111002 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 75717237 + ... + 75718636.

Almost surely, 2106005111100 is an apocalyptic number.

106005111100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106005111100 is an abundant number, since it is smaller than the sum of its proper divisors (156887566164).

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

106005111100 is a wasteful number, since it uses less digits than its factorization.

106005111100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151435894 (or 151435887 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 16.

Adding to 106005111100 its reverse (1111500601), we get a palindrome (107116611701).

The spelling of 106005111100 in words is "one hundred six billion, five million, one hundred eleven thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 700 151435873 302871746 605743492 757179365 1060051111 1514358730 2120102222 3028717460 3785896825 4240204444 5300255555 7571793650 10600511110 15143587300 21201022220 26501277775 53002555550 106005111100