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97805106 = 23274311801
BaseRepresentation
bin1011101010001…
…10001100110010
320211001000101100
411311012030302
5200014230411
613412145230
72265221040
oct565061462
9224030340
1097805106
1150232473
1228908216
1317355759
14cdbd390
1588be456
hex5d46332

97805106 has 48 divisors (see below), whose sum is σ = 242880768. Its totient is φ = 27864000.

The previous prime is 97805101. The next prime is 97805107. The reversal of 97805106 is 60150879.

It is not an unprimeable number, because it can be changed into a prime (97805101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53406 + ... + 55206.

It is an arithmetic number, because the mean of its divisors is an integer number (5060016).

Almost surely, 297805106 is an apocalyptic number.

97805106 is an abundant number, since it is smaller than the sum of its proper divisors (145075662).

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

97805106 is a wasteful number, since it uses less digits than its factorization.

97805106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2247 (or 2244 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 97805106 is about 9889.6464041946. The cubic root of 97805106 is about 460.7377983622.

The spelling of 97805106 in words is "ninety-seven million, eight hundred five thousand, one hundred six".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 431 862 1293 1801 2586 3017 3602 3879 5403 6034 7758 9051 10806 12607 16209 18102 25214 27153 32418 37821 54306 75642 113463 226926 776231 1552462 2328693 4657386 5433617 6986079 10867234 13972158 16300851 32601702 48902553 97805106